Podcast
Questions and Answers
What is the SI unit of force?
What is the SI unit of force?
- Kilogram
- Meter
- Second
- Newton (correct)
Which of Newton's Laws is best demonstrated by a rocket launching into space?
Which of Newton's Laws is best demonstrated by a rocket launching into space?
- Newton's Law of Gravitation
- Newton's First Law
- Newton's Second Law
- Newton's Third Law (correct)
What term describes the measure of an object's resistance to acceleration?
What term describes the measure of an object's resistance to acceleration?
- Weight
- Inertia (correct)
- Force
- Velocity
If a ball is thrown horizontally, what force causes it to fall to the ground?
If a ball is thrown horizontally, what force causes it to fall to the ground?
What is the quantity of matter a body contains?
What is the quantity of matter a body contains?
Which of the following is a scalar quantity?
Which of the following is a scalar quantity?
What does 'N of E' indicate when specifying the direction of a vector?
What does 'N of E' indicate when specifying the direction of a vector?
In the component method of vector addition, what does the algebraic sum of all horizontal components represent?
In the component method of vector addition, what does the algebraic sum of all horizontal components represent?
In the context of vector components, what determines whether a component is positive or negative?
In the context of vector components, what determines whether a component is positive or negative?
According to the Pythagorean theorem, how do you calculate the magnitude of the resultant vector, given its horizontal and vertical components?
According to the Pythagorean theorem, how do you calculate the magnitude of the resultant vector, given its horizontal and vertical components?
What does the dot product of two vectors tell us?
What does the dot product of two vectors tell us?
What is the result of a cross product called?
What is the result of a cross product called?
What is the study of motion without reference to its physical causes?
What is the study of motion without reference to its physical causes?
Which of the following describes 'motion'?
Which of the following describes 'motion'?
What type of quantity is distance?
What type of quantity is distance?
What is the study of why objects move?
What is the study of why objects move?
If vectors A and B are perpendicular, what is the angle between them?
If vectors A and B are perpendicular, what is the angle between them?
What is the difference between distance and displacement?
What is the difference between distance and displacement?
The direction of the vector product in a cross product is given by what rule?
The direction of the vector product in a cross product is given by what rule?
What quantity is calculated using the dot product?
What quantity is calculated using the dot product?
What force primarily affects an object in free fall?
What force primarily affects an object in free fall?
In free fall, what is the acceleration due to gravity considered?
In free fall, what is the acceleration due to gravity considered?
What is the only force acting upon an object in free fall?
What is the only force acting upon an object in free fall?
What happens to the peak height of a projectile when the launch angle is increased?
What happens to the peak height of a projectile when the launch angle is increased?
What is the motion of a falling body under the influence of earth's gravity called?
What is the motion of a falling body under the influence of earth's gravity called?
What happens to the peak height of a projectile when initial height is increased?
What happens to the peak height of a projectile when initial height is increased?
For objects thrown upwards, what type of motion are they an example of?
For objects thrown upwards, what type of motion are they an example of?
What is the acceleration of a freely falling body called?
What is the acceleration of a freely falling body called?
Which factor does NOT affect projectile motion, according to the text?
Which factor does NOT affect projectile motion, according to the text?
What happens when you increase the launch angle of a projectile?
What happens when you increase the launch angle of a projectile?
What is acceleration defined as?
What is acceleration defined as?
A car is traveling at a constant speed in a straight line. Is the car accelerating?
A car is traveling at a constant speed in a straight line. Is the car accelerating?
What is the average velocity of an athlete who runs around a circular track and returns to the starting point?
What is the average velocity of an athlete who runs around a circular track and returns to the starting point?
Which of the following is an example of constant acceleration?
Which of the following is an example of constant acceleration?
What is the formula to calculate average speed?
What is the formula to calculate average speed?
What is the final velocity of a dropped brick after 4 seconds, assuming it starts from rest and is under constant acceleration due to gravity (approximately $9.8 m/s^2$)?
What is the final velocity of a dropped brick after 4 seconds, assuming it starts from rest and is under constant acceleration due to gravity (approximately $9.8 m/s^2$)?
What is the formula for average velocity?
What is the formula for average velocity?
A car travels 60 kilometers in 1 hour. What is its average speed?
A car travels 60 kilometers in 1 hour. What is its average speed?
A car changes lanes while maintaining a constant speed. Is it accelerating?
A car changes lanes while maintaining a constant speed. Is it accelerating?
What quantity equals zero when an athlete completes one lap around a circular track?
What quantity equals zero when an athlete completes one lap around a circular track?
What type of quantity is displacement?
What type of quantity is displacement?
Which of the following describes kinematics?
Which of the following describes kinematics?
What does the cross product of two vectors result in?
What does the cross product of two vectors result in?
What is the study of the relationship between force and motion called?
What is the study of the relationship between force and motion called?
What describes the action or process of changing position?
What describes the action or process of changing position?
When two vectors are perpendicular, what is the value of their dot product?
When two vectors are perpendicular, what is the value of their dot product?
In a cross product, the resultant vector's direction is determined by what?
In a cross product, the resultant vector's direction is determined by what?
What is the angle between two vectors when their dot product is zero?
What is the angle between two vectors when their dot product is zero?
What is the influence that can change the motion of an object?
What is the influence that can change the motion of an object?
What is the standard SI unit for measuring mass?
What is the standard SI unit for measuring mass?
Which of Newton's Laws describes the relationship between force, mass, and acceleration?
Which of Newton's Laws describes the relationship between force, mass, and acceleration?
What does Newton's Third Law of Motion state?
What does Newton's Third Law of Motion state?
What is displacement?
What is displacement?
What term describes an object's tendency to resist changes in its state of motion?
What term describes an object's tendency to resist changes in its state of motion?
What is the difference between speed and velocity?
What is the difference between speed and velocity?
In physics, what is acceleration?
In physics, what is acceleration?
When adding vectors using the component method, what does resolving a vector mean?
When adding vectors using the component method, what does resolving a vector mean?
What does the dot product of two vectors provide?
What does the dot product of two vectors provide?
Which vector direction is equivalent to 'N'?
Which vector direction is equivalent to 'N'?
What is defined as the rate of change of velocity?
What is defined as the rate of change of velocity?
What is motion with constant acceleration called?
What is motion with constant acceleration called?
If an object returns to its starting point, what is its displacement?
If an object returns to its starting point, what is its displacement?
Which of the following describes a change in velocity?
Which of the following describes a change in velocity?
What is the average velocity of an object that starts and ends at the same location?
What is the average velocity of an object that starts and ends at the same location?
What is needed to calculate average speed?
What is needed to calculate average speed?
What information is needed to determine average velocity?
What information is needed to determine average velocity?
What is the correct formula for average speed?
What is the correct formula for average speed?
What is the only force considered to be acting on an object in free fall?
What is the only force considered to be acting on an object in free fall?
An athlete runs around a circular track and ends up where they started. What is their average velocity?
An athlete runs around a circular track and ends up where they started. What is their average velocity?
What is the correct formula for average velocity?
What is the correct formula for average velocity?
What is the acceleration of a freely falling body primarily due to?
What is the acceleration of a freely falling body primarily due to?
What happens to the maximum height of a projectile when the launch angle is increased?
What happens to the maximum height of a projectile when the launch angle is increased?
What happens to the maximum height of a projectile when the initial height is increased?
What happens to the maximum height of a projectile when the initial height is increased?
In projectile motion, what effect does mass have on the trajectory of an object?
In projectile motion, what effect does mass have on the trajectory of an object?
What term describes the motion of an object solely under the influence of gravity?
What term describes the motion of an object solely under the influence of gravity?
What happens to an object thrown upwards?
What happens to an object thrown upwards?
What is 'g' when discussing free fall?
What is 'g' when discussing free fall?
What is the shape of the path traveled by a projectile?
What is the shape of the path traveled by a projectile?
What causes a tennis ball to eventually fall back to the ground after being thrown upwards?
What causes a tennis ball to eventually fall back to the ground after being thrown upwards?
What is the standard SI unit of mass?
What is the standard SI unit of mass?
What is a force?
What is a force?
Which of Newton's Laws best explains a rocket launching into space?
Which of Newton's Laws best explains a rocket launching into space?
What is the effect of a force on an object with mass?
What is the effect of a force on an object with mass?
What term describes the measure of an object's resistance to changes in its motion?
What term describes the measure of an object's resistance to changes in its motion?
In the component method of vector addition, what do the sums of all the horizontal components represent?
In the component method of vector addition, what do the sums of all the horizontal components represent?
What does the sign of a vector component indicate in component method?
What does the sign of a vector component indicate in component method?
If two vectors are perpendicular, what is their dot product?
If two vectors are perpendicular, what is their dot product?
What is defined as the force that changes motion?
What is defined as the force that changes motion?
In a cross product, how is the direction of the resultant vector determined?
In a cross product, how is the direction of the resultant vector determined?
In projectile motion, what happens to the peak height when the launch angle is increased, assuming all other factors are constant?
In projectile motion, what happens to the peak height when the launch angle is increased, assuming all other factors are constant?
What happens to the peak height of a projectile if the initial height from which it is launched is increased?
What happens to the peak height of a projectile if the initial height from which it is launched is increased?
In projectile motion, what is the effect of mass on the object's trajectory, assuming air resistance is negligible?
In projectile motion, what is the effect of mass on the object's trajectory, assuming air resistance is negligible?
What term describes the motion of an object falling solely under the influence of gravity?
What term describes the motion of an object falling solely under the influence of gravity?
For an object thrown upwards, what force causes it to eventually fall back to the ground?
For an object thrown upwards, what force causes it to eventually fall back to the ground?
What is 'g' typically represent when discussing free fall?
What is 'g' typically represent when discussing free fall?
What describes the path of a projectile?
What describes the path of a projectile?
What is the value of acceleration due to gravity?
What is the value of acceleration due to gravity?
What best describes 'free fall'?
What best describes 'free fall'?
What is the rate of change of velocity called?
What is the rate of change of velocity called?
A car is changing lanes while maintaining a constant speed. Is the car accelerating?
A car is changing lanes while maintaining a constant speed. Is the car accelerating?
An athlete runs around a circular track and returns to the starting point. What is their displacement?
An athlete runs around a circular track and returns to the starting point. What is their displacement?
What information is needed to calculate average speed?
What information is needed to calculate average speed?
What is uniform acceleration?
What is uniform acceleration?
A car travels 60 kilometers per hour for 2 hours and 30 kilometers for 1 hour. What is the average speed of the car?
A car travels 60 kilometers per hour for 2 hours and 30 kilometers for 1 hour. What is the average speed of the car?
A car starts from rest and accelerates to a velocity of 25 m/s in 5 seconds. What is the average acceleration?
A car starts from rest and accelerates to a velocity of 25 m/s in 5 seconds. What is the average acceleration?
An athlete runs 8 kilometers east and then 2 kilometers west, finishing in 2 hours. What is the athlete's average speed?
An athlete runs 8 kilometers east and then 2 kilometers west, finishing in 2 hours. What is the athlete's average speed?
An athlete runs 8 kilometers east and then 2 kilometers west, finishing in 2 hours. What is the athlete's average velocity?
An athlete runs 8 kilometers east and then 2 kilometers west, finishing in 2 hours. What is the athlete's average velocity?
According to Newton's Third Law of Motion, what always accompanies an action?
According to Newton's Third Law of Motion, what always accompanies an action?
What does mass measure?
What does mass measure?
What is weight defined as?
What is weight defined as?
What type of quantity is mass?
What type of quantity is mass?
Which area of physics studies motion without considering its causes?
Which area of physics studies motion without considering its causes?
Which area of physics is the study of the causes of motion?
Which area of physics is the study of the causes of motion?
What is another term for 'motion'?
What is another term for 'motion'?
What mathematical operation results in a scalar quantity when applied to two vectors?
What mathematical operation results in a scalar quantity when applied to two vectors?
The cross product of two vectors produces what type of quantity?
The cross product of two vectors produces what type of quantity?
What is equal to $\vec{A} \cdot \vec{B}$?
What is equal to $\vec{A} \cdot \vec{B}$?
What information is needed to define a vector?
What information is needed to define a vector?
What is equal to $|\vec{A} \times \vec{B}|$
What is equal to $|\vec{A} \times \vec{B}|$
What is the purpose of resolving vectors into horizontal and vertical components in the component method of vector addition?
What is the purpose of resolving vectors into horizontal and vertical components in the component method of vector addition?
In the component method of vector addition, what mathematical concept is used to find the magnitude of the resultant vector from its horizontal and vertical components?
In the component method of vector addition, what mathematical concept is used to find the magnitude of the resultant vector from its horizontal and vertical components?
What does the dot product of two vectors measure?
What does the dot product of two vectors measure?
What is the result of taking the dot product of two perpendicular vectors?
What is the result of taking the dot product of two perpendicular vectors?
What is the definition of acceleration?
What is the definition of acceleration?
A car starts from rest and accelerates to a velocity of 25 m/s in 5 minutes. What is the average acceleration?
A car starts from rest and accelerates to a velocity of 25 m/s in 5 minutes. What is the average acceleration?
What parameter is defined as the rate of change of velocity?
What parameter is defined as the rate of change of velocity?
Under what condition is a car considered to be undergoing acceleration?
Under what condition is a car considered to be undergoing acceleration?
When does a change in velocity occur?
When does a change in velocity occur?
An athlete runs around a circular track and ends up where they started. What is their displacement?
An athlete runs around a circular track and ends up where they started. What is their displacement?
A construction worker drops a brick from a high scaffold. What kinematic parameter increases over time?
A construction worker drops a brick from a high scaffold. What kinematic parameter increases over time?
What is the primary force acting on an object in free fall?
What is the primary force acting on an object in free fall?
What effect does mass ideally have on projectile motion, assuming air resistance is negligible?
What effect does mass ideally have on projectile motion, assuming air resistance is negligible?
What is the motion of a falling object under the influence of only gravity called?
What is the motion of a falling object under the influence of only gravity called?
What happens to an object that is thrown upwards?
What happens to an object that is thrown upwards?
What does 'g' represent when discussing free fall?
What does 'g' represent when discussing free fall?
What path does a projectile follow?
What path does a projectile follow?
What causes a tennis ball to fall back to the ground after being thrown upwards?
What causes a tennis ball to fall back to the ground after being thrown upwards?
Free fall is the motion of an object under the effect of what?
Free fall is the motion of an object under the effect of what?
A vector described as '30 S of E' indicates a direction that is:
A vector described as '30 S of E' indicates a direction that is:
In the component method of vector addition, what trigonometric function is typically used to find the horizontal component of a vector, given its magnitude and angle with the horizontal?
In the component method of vector addition, what trigonometric function is typically used to find the horizontal component of a vector, given its magnitude and angle with the horizontal?
During vector addition using the component method, why is it important to consider the quadrant in which the resultant vector lies?
During vector addition using the component method, why is it important to consider the quadrant in which the resultant vector lies?
Two vectors, A and B, are defined as: A = 2i + 3j and B = -i + 2j. What is the dot product: $A \cdot B$?
Two vectors, A and B, are defined as: A = 2i + 3j and B = -i + 2j. What is the dot product: $A \cdot B$?
Given vectors A and B, where A = 5i - 2j + k and B = -2i + j - 3k, what is the cosine of the angle between them, rounded to two decimal places?
Given vectors A and B, where A = 5i - 2j + k and B = -2i + j - 3k, what is the cosine of the angle between them, rounded to two decimal places?
A jogger runs the following displacements: 4.00m 50 N of E, 5m west, 6.00m 30 S of W, and 10m north. Assume the jogger then runs additional displacements until they arrive back where they started. What is the dot product of the jogger's initial resultant displacement vector and the jogger's new displacement vector?
A jogger runs the following displacements: 4.00m 50 N of E, 5m west, 6.00m 30 S of W, and 10m north. Assume the jogger then runs additional displacements until they arrive back where they started. What is the dot product of the jogger's initial resultant displacement vector and the jogger's new displacement vector?
An object is launched at an angle of 25° with a velocity of 20 m/s. What kinematic principle primarily governs the calculation of its maximum height?
An object is launched at an angle of 25° with a velocity of 20 m/s. What kinematic principle primarily governs the calculation of its maximum height?
What is the primary distinction between mass and weight?
What is the primary distinction between mass and weight?
A ball is thrown horizontally from a 6m high platform with an initial speed of 30 m/s. Which of the following statements accurately describes the vertical motion of the ball?
A ball is thrown horizontally from a 6m high platform with an initial speed of 30 m/s. Which of the following statements accurately describes the vertical motion of the ball?
Consider a scenario where a swimmer is propelling themselves through the water. According to Newton's Third Law, what force propels the swimmer forward?
Consider a scenario where a swimmer is propelling themselves through the water. According to Newton's Third Law, what force propels the swimmer forward?
A physicist observes a peculiar phenomenon: An object is moving at a constant velocity with no net force acting upon it. Simultaneously, the object's observed inertia appears to be decreasing linearly with time. Which of the following hypothetical scenarios could explain this observation, assuming the standard laws of Newtonian mechanics still locally apply to the object's frame of reference?
A physicist observes a peculiar phenomenon: An object is moving at a constant velocity with no net force acting upon it. Simultaneously, the object's observed inertia appears to be decreasing linearly with time. Which of the following hypothetical scenarios could explain this observation, assuming the standard laws of Newtonian mechanics still locally apply to the object's frame of reference?
What distinguishes distance from displacement?
What distinguishes distance from displacement?
If vectors A and B are defined as A = i + 3j + 4k and B = 2i + 7j - 5k, which of the following correctly represents the intermediate step in calculating their cross product?
If vectors A and B are defined as A = i + 3j + 4k and B = 2i + 7j - 5k, which of the following correctly represents the intermediate step in calculating their cross product?
In kinematics, what aspect of motion is primarily studied?
In kinematics, what aspect of motion is primarily studied?
What is the result of the dot product of two vectors when the angle between them is 90 degrees?
What is the result of the dot product of two vectors when the angle between them is 90 degrees?
How is the direction of the vector resulting from a cross product determined?
How is the direction of the vector resulting from a cross product determined?
If a person walks 40 meters east and then 30 meters north, what is the magnitude of their total displacement?
If a person walks 40 meters east and then 30 meters north, what is the magnitude of their total displacement?
A student is asked to calculate the dot product of two vectors, A and B. Vector A has a magnitude of 5 units and vector B has a magnitude of 6 units. The angle between vectors A and B is 30 degrees. What is the dot product of A and B?
A student is asked to calculate the dot product of two vectors, A and B. Vector A has a magnitude of 5 units and vector B has a magnitude of 6 units. The angle between vectors A and B is 30 degrees. What is the dot product of A and B?
Two vectors, P and Q, both have a magnitude of 10 units. If the magnitude of their cross product is 50, what is the angle between P and Q?
Two vectors, P and Q, both have a magnitude of 10 units. If the magnitude of their cross product is 50, what is the angle between P and Q?
An engineer claims to have developed a new navigation system that can perfectly determine both the distance and displacement of any object at any time. Under what condition would this claim be considered impossible?
An engineer claims to have developed a new navigation system that can perfectly determine both the distance and displacement of any object at any time. Under what condition would this claim be considered impossible?
A car travels at 60 kilometers per hour for 2 hours and then 30 kilometers for 1 hour. What is the car's average speed?
A car travels at 60 kilometers per hour for 2 hours and then 30 kilometers for 1 hour. What is the car's average speed?
An athlete runs around a circular track with a 15.0m radius 5 times in 2.5 minutes. What is the athlete's average speed?
An athlete runs around a circular track with a 15.0m radius 5 times in 2.5 minutes. What is the athlete's average speed?
An athlete runs around a 15.0m radius track 5 times in 2.5 minutes. What is the athlete's average velocity?
An athlete runs around a 15.0m radius track 5 times in 2.5 minutes. What is the athlete's average velocity?
A student running in a track meet reaches 200m in 30s and then 300m in 30s. What was their acceleration, assuming constant acceleration during the 30s interval?
A student running in a track meet reaches 200m in 30s and then 300m in 30s. What was their acceleration, assuming constant acceleration during the 30s interval?
A particle moving with uniform acceleration in a straight line is observed moving at 5 m/s. After 20 seconds, it's moving at 45.5 m/s. Find its acceleration.
A particle moving with uniform acceleration in a straight line is observed moving at 5 m/s. After 20 seconds, it's moving at 45.5 m/s. Find its acceleration.
A construction worker accidentally drops a brick from a high scaffold. What is the velocity of the brick after 4.0 s, assuming no air resistance and constant acceleration due to gravity (approximately $9.8 m/s^2$)?
A construction worker accidentally drops a brick from a high scaffold. What is the velocity of the brick after 4.0 s, assuming no air resistance and constant acceleration due to gravity (approximately $9.8 m/s^2$)?
A car is accelerating in all of the following scenarios EXCEPT:
A car is accelerating in all of the following scenarios EXCEPT:
In free fall, what is the primary force acting on an object, neglecting air resistance?
In free fall, what is the primary force acting on an object, neglecting air resistance?
What is the acceleration of an object in free fall near the Earth's surface, assuming negligible air resistance?
What is the acceleration of an object in free fall near the Earth's surface, assuming negligible air resistance?
For a projectile launched at an angle, what happens to the maximum height as the launch angle increases (assuming constant initial velocity)?
For a projectile launched at an angle, what happens to the maximum height as the launch angle increases (assuming constant initial velocity)?
For a projectile launched from a certain initial height, what happens to the maximum peak height as the initial height increases?
For a projectile launched from a certain initial height, what happens to the maximum peak height as the initial height increases?
In projectile motion, if air resistance is negligible, how does mass affect the projectile's trajectory?
In projectile motion, if air resistance is negligible, how does mass affect the projectile's trajectory?
What is the name given to the constant acceleration experienced by a freely falling object due to Earth's gravity?
What is the name given to the constant acceleration experienced by a freely falling object due to Earth's gravity?
A tennis ball is thrown straight up. What is its instantaneous velocity at its maximum height?
A tennis ball is thrown straight up. What is its instantaneous velocity at its maximum height?
A rocket accelerates from rest at a constant rate of $3 m/s^2$. How far will it travel in 13 seconds?
A rocket accelerates from rest at a constant rate of $3 m/s^2$. How far will it travel in 13 seconds?
A rocket accelerates uniformly from rest to a speed of 25 m/s after traveling 75 m. What is the rocket's acceleration?
A rocket accelerates uniformly from rest to a speed of 25 m/s after traveling 75 m. What is the rocket's acceleration?
A ball is thrown horizontally from a height of 6 meters with an initial speed of 30 m/s. What is the approximate horizontal distance from the point of release where it will strike the ground?
A ball is thrown horizontally from a height of 6 meters with an initial speed of 30 m/s. What is the approximate horizontal distance from the point of release where it will strike the ground?
A vector is described as '45 N of W'. What does this mean?
A vector is described as '45 N of W'. What does this mean?
In the component method of vector addition, what does resolving a vector into components mean?
In the component method of vector addition, what does resolving a vector into components mean?
When using the component method of adding vectors, how do you determine which quadrant the resultant vector lies in?
When using the component method of adding vectors, how do you determine which quadrant the resultant vector lies in?
A jogger runs 3.0 m North, then 4.0 m East. What is the magnitude of the jogger's resultant displacement?
A jogger runs 3.0 m North, then 4.0 m East. What is the magnitude of the jogger's resultant displacement?
What information does the dot product of two vectors provide?
What information does the dot product of two vectors provide?
Given two vectors, $\vec{A}$ and $\vec{B}$, where $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = -\hat{i} + 2\hat{j}$, calculate the dot product $\vec{A} \cdot \vec{B}$.
Given two vectors, $\vec{A}$ and $\vec{B}$, where $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = -\hat{i} + 2\hat{j}$, calculate the dot product $\vec{A} \cdot \vec{B}$.
An object is launched at a velocity of 20 m/s at an angle of 25° upward relative to the horizontal. What is the primary force acting on the object during its projectile motion after it is launched?
An object is launched at a velocity of 20 m/s at an angle of 25° upward relative to the horizontal. What is the primary force acting on the object during its projectile motion after it is launched?
A ball is thrown horizontally from a height of 6 meters with an initial speed of 30 m/s. Assuming negligible air resistance, what best describes the ball's vertical acceleration?
A ball is thrown horizontally from a height of 6 meters with an initial speed of 30 m/s. Assuming negligible air resistance, what best describes the ball's vertical acceleration?
What distinguishes mass from weight?
What distinguishes mass from weight?
A rocket launching into space exemplifies which of Newton's Laws of Motion most directly?
A rocket launching into space exemplifies which of Newton's Laws of Motion most directly?
A person is swimming in a pool. According to Newton's Third Law, which statement accurately describes the interaction between the swimmer and the water?
A person is swimming in a pool. According to Newton's Third Law, which statement accurately describes the interaction between the swimmer and the water?
In the context of the dot product, what is the result when two vectors are perpendicular?
In the context of the dot product, what is the result when two vectors are perpendicular?
What is the primary focus of kinematics?
What is the primary focus of kinematics?
What does dynamics primarily study?
What does dynamics primarily study?
Two vectors, A and B, have magnitudes of 4 units and 5 units, respectively. If the angle between them is 60 degrees, what is the magnitude of their dot product?
Two vectors, A and B, have magnitudes of 4 units and 5 units, respectively. If the angle between them is 60 degrees, what is the magnitude of their dot product?
When calculating the cross product of two vectors, what determines the direction of the resulting vector?
When calculating the cross product of two vectors, what determines the direction of the resulting vector?
If $\vec{A} = 2\hat{i} - 3\hat{j} + \hat{k}$ and $\vec{B} = - \hat{i} + \hat{j} - 2\hat{k}$, what is the cross product $\vec{A} \times \vec{B}$?
If $\vec{A} = 2\hat{i} - 3\hat{j} + \hat{k}$ and $\vec{B} = - \hat{i} + \hat{j} - 2\hat{k}$, what is the cross product $\vec{A} \times \vec{B}$?
Imagine two vectors, $\vec{P}$ and $\vec{Q}$, with magnitudes $P = 8$ and $Q = 6$, respectively. If $\vec{P} \cdot \vec{Q} = 24$, what is the angle between $\vec{P}$ and $\vec{Q}$?
Imagine two vectors, $\vec{P}$ and $\vec{Q}$, with magnitudes $P = 8$ and $Q = 6$, respectively. If $\vec{P} \cdot \vec{Q} = 24$, what is the angle between $\vec{P}$ and $\vec{Q}$?
Two displacement vectors have magnitudes of 5m and 7m respectively. When these vectors are added, what is the least possible magnitude of the resultant vector?
Two displacement vectors have magnitudes of 5m and 7m respectively. When these vectors are added, what is the least possible magnitude of the resultant vector?
What is the displacement of an object that travels 30m North, 40m East, 30m South, and 40m West?
What is the displacement of an object that travels 30m North, 40m East, 30m South, and 40m West?
A runner completes 8 kilometers east and then 2 kilometers west. If the entire run takes 2 hours, what is the runner's average speed?
A runner completes 8 kilometers east and then 2 kilometers west. If the entire run takes 2 hours, what is the runner's average speed?
A car travels 60 kilometers at a speed of 60 km/h and then 30 kilometers at 30 km/h. What is the car's average speed?
A car travels 60 kilometers at a speed of 60 km/h and then 30 kilometers at 30 km/h. What is the car's average speed?
Which of the following scenarios involves acceleration?
Which of the following scenarios involves acceleration?
A car starts from rest and accelerates to a velocity of 25 m/s in 5 minutes. What is the car's average acceleration?
A car starts from rest and accelerates to a velocity of 25 m/s in 5 minutes. What is the car's average acceleration?
A student running a track meet reaches 200m in 30s, then covers 300m in 30s. What is the student's average acceleration during this run, assuming constant acceleration?
A student running a track meet reaches 200m in 30s, then covers 300m in 30s. What is the student's average acceleration during this run, assuming constant acceleration?
A particle moving with uniform acceleration in a straight line is observed to be moving at 5 m/s. After 20 seconds, it is moving at 45.5 m/s. What is its acceleration?
A particle moving with uniform acceleration in a straight line is observed to be moving at 5 m/s. After 20 seconds, it is moving at 45.5 m/s. What is its acceleration?
A construction worker drops a brick from a high scaffold. What additional information is required to calculate the distance the brick falls in 4 seconds (ignoring air resistance)?
A construction worker drops a brick from a high scaffold. What additional information is required to calculate the distance the brick falls in 4 seconds (ignoring air resistance)?
A train accelerates from rest to 30 m/s with constant accleration. At what time would its velocity equal 15m/s?
A train accelerates from rest to 30 m/s with constant accleration. At what time would its velocity equal 15m/s?
What condition defines free fall?
What condition defines free fall?
A tennis ball is thrown straight up and caught at the same height. Which of the following is true at its maximum height?
A tennis ball is thrown straight up and caught at the same height. Which of the following is true at its maximum height?
A racer accelerates from rest at a constant rate of $3.0 m/s^2$. How far has the racer travelled by the end of 13 seconds?
A racer accelerates from rest at a constant rate of $3.0 m/s^2$. How far has the racer travelled by the end of 13 seconds?
In projectile motion, which of the following factors does not affect the horizontal range of a projectile, assuming a level surface and neglecting air resistance?
In projectile motion, which of the following factors does not affect the horizontal range of a projectile, assuming a level surface and neglecting air resistance?
A ball is thrown horizontally from a height of 6 m with an initial speed of 30 m/s. What is the approximate time it will take for the ball to reach the ground?
A ball is thrown horizontally from a height of 6 m with an initial speed of 30 m/s. What is the approximate time it will take for the ball to reach the ground?
Assuming no air resistance, what happens to the peak height of a projectile if the launch angle is increased from 30 degrees to 60 degrees, while keeping the initial velocity constant?
Assuming no air resistance, what happens to the peak height of a projectile if the launch angle is increased from 30 degrees to 60 degrees, while keeping the initial velocity constant?
Given projectile motion with a fixed launch angle and initial velocity, at what launch angle will the range be maximized, assuming a flat surface and negligible air resistance?
Given projectile motion with a fixed launch angle and initial velocity, at what launch angle will the range be maximized, assuming a flat surface and negligible air resistance?
A projectile is launched with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. Assuming negligible air resistance, what is the horizontal component of the projectile's velocity at the highest point of its trajectory?
A projectile is launched with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. Assuming negligible air resistance, what is the horizontal component of the projectile's velocity at the highest point of its trajectory?
A projectile is launched off a cliff at an angle of $\theta$ with respect to the horizontal. Considering gravitational acceleration $g$, and given $v_0$ = initial velocity, and $h$ = initial height, derive an equation that could theoretically solve for the range (R) of the projectile on a flat surface, without solving for time or splitting into components. (Assume no air resistance.)
A projectile is launched off a cliff at an angle of $\theta$ with respect to the horizontal. Considering gravitational acceleration $g$, and given $v_0$ = initial velocity, and $h$ = initial height, derive an equation that could theoretically solve for the range (R) of the projectile on a flat surface, without solving for time or splitting into components. (Assume no air resistance.)
An object moving along the x-axis has a speed of 2 m/s at t = 0 and a constant acceleration of 2 m/s². How fast will it be moving at t = 10 s?
An object moving along the x-axis has a speed of 2 m/s at t = 0 and a constant acceleration of 2 m/s². How fast will it be moving at t = 10 s?
A car is rolling towards a cliff with an initial speed of 15 m/s. The brakes provide a maximum negative acceleration of -0.3 m/s². If the cliff is 350 m away, will the car go over the cliff?
A car is rolling towards a cliff with an initial speed of 15 m/s. The brakes provide a maximum negative acceleration of -0.3 m/s². If the cliff is 350 m away, will the car go over the cliff?
Which parameter has a greater effect on the displacement of an object undergoing uniform acceleration in one dimension: doubling the initial velocity or doubling the time of acceleration?
Which parameter has a greater effect on the displacement of an object undergoing uniform acceleration in one dimension: doubling the initial velocity or doubling the time of acceleration?
A small ball is released from a window. Assuming free-fall conditions, how far does it travel in 2.8 seconds?
A small ball is released from a window. Assuming free-fall conditions, how far does it travel in 2.8 seconds?
Three spheres are held at various heights above a table, with Sphere 1 closest and Sphere 3 furthest. Assuming perfectly elastic collisions, at what speed must sphere 3 be initially traveling downward to hit the table at the same time that sphere 1 first hits the table, given the time for sphere 1 to hit the table is 0.64 seconds?
Three spheres are held at various heights above a table, with Sphere 1 closest and Sphere 3 furthest. Assuming perfectly elastic collisions, at what speed must sphere 3 be initially traveling downward to hit the table at the same time that sphere 1 first hits the table, given the time for sphere 1 to hit the table is 0.64 seconds?
What effect does the magnitude of acceleration have on the differing impact between doubling the initial velocity and doubling the time on the displacement of an object?
What effect does the magnitude of acceleration have on the differing impact between doubling the initial velocity and doubling the time on the displacement of an object?
A car is initially moving at 15 m/s and decelerates at a rate of 0.3 m/s² . Approximately how long will it take for the car to come to a complete stop?
A car is initially moving at 15 m/s and decelerates at a rate of 0.3 m/s² . Approximately how long will it take for the car to come to a complete stop?
A ball is dropped from a window and falls freely for 2.8 seconds. If a heavier ball were dropped from the same window under identical conditions, how would the distance it falls compare?
A ball is dropped from a window and falls freely for 2.8 seconds. If a heavier ball were dropped from the same window under identical conditions, how would the distance it falls compare?
Imagine a scenario where air resistance is not negligible. How would a heavier ball's fall distance compare to a lighter ball's when dropped simultaneously from the same height?
Imagine a scenario where air resistance is not negligible. How would a heavier ball's fall distance compare to a lighter ball's when dropped simultaneously from the same height?
An engineer is tasked with designing a safety net at the base of a tall structure to catch objects falling from above. Based on kinematic principles, what is the MOST crucial factor they should consider to ensure the net's effectiveness?
An engineer is tasked with designing a safety net at the base of a tall structure to catch objects falling from above. Based on kinematic principles, what is the MOST crucial factor they should consider to ensure the net's effectiveness?
Two spheres are launched upwards with different initial speeds. If sphere 2 has an initial upward speed of 1 m/s and sphere 3 has an initial upward speed of 2 m/s, what is the difference in their initial heights if they both hit the table at the same time that the first sphere (released from rest) hits the table for the sixth time?
Two spheres are launched upwards with different initial speeds. If sphere 2 has an initial upward speed of 1 m/s and sphere 3 has an initial upward speed of 2 m/s, what is the difference in their initial heights if they both hit the table at the same time that the first sphere (released from rest) hits the table for the sixth time?
A cart starts at $x = 5$ m with an initial speed of 3 m/s and accelerates at a constant rate of 4 m/s². What is the position of the cart at $t = 2$ s?
A cart starts at $x = 5$ m with an initial speed of 3 m/s and accelerates at a constant rate of 4 m/s². What is the position of the cart at $t = 2$ s?
A car passes a street corner at a constant speed of 20 m/s. A police car starts from rest at the corner and accelerates at 2 m/s² to catch the speeder. How far from the corner will the police car catch the car?
A car passes a street corner at a constant speed of 20 m/s. A police car starts from rest at the corner and accelerates at 2 m/s² to catch the speeder. How far from the corner will the police car catch the car?
Two spheres are rolling towards each other. Sphere 1 starts at $x = 0$ m with a velocity of 10 m/s to the right and an acceleration of 2 m/s² to the right. Sphere 2 starts at $x = 1000$ m with a velocity of 2 m/s to the left and an acceleration of -4 m/s². What is the relative velocity of sphere 1 with respect to sphere 2 at the time of impact?
Two spheres are rolling towards each other. Sphere 1 starts at $x = 0$ m with a velocity of 10 m/s to the right and an acceleration of 2 m/s² to the right. Sphere 2 starts at $x = 1000$ m with a velocity of 2 m/s to the left and an acceleration of -4 m/s². What is the relative velocity of sphere 1 with respect to sphere 2 at the time of impact?
Cars are lined up at a red light with 5.0 m spacing between them, each car being 4.6 m long. When the light turns green, the cars accelerate at 1.22 m/s² for 10.0 seconds before continuing at a constant speed. If the light stays green for 90.0 seconds, how many cars make it to or through the intersection?
Cars are lined up at a red light with 5.0 m spacing between them, each car being 4.6 m long. When the light turns green, the cars accelerate at 1.22 m/s² for 10.0 seconds before continuing at a constant speed. If the light stays green for 90.0 seconds, how many cars make it to or through the intersection?
Two steel spheres are dropped from a tower, with the second sphere released 0.5 seconds after the first. After 1.4 seconds from the release of the first sphere, what is the distance between the two spheres, assuming free fall?
Two steel spheres are dropped from a tower, with the second sphere released 0.5 seconds after the first. After 1.4 seconds from the release of the first sphere, what is the distance between the two spheres, assuming free fall?
A ball is tossed upwards under free-fall conditions with an initial speed of 2.0 m/s. Does the ball spend more time in the top 0.1 m or the bottom 0.1 m of its trajectory?
A ball is tossed upwards under free-fall conditions with an initial speed of 2.0 m/s. Does the ball spend more time in the top 0.1 m or the bottom 0.1 m of its trajectory?
A model rocket enthusiast launches a rocket with a motion sensor. Which of these characteristics describes the motion of the rocket after its fuel runs out?
A model rocket enthusiast launches a rocket with a motion sensor. Which of these characteristics describes the motion of the rocket after its fuel runs out?
A rocket is launched such that it experiences $5 m/s^2$ acceleration upwards for 5 seconds, and then the engine cuts out. What is the maximum height it can reach?
A rocket is launched such that it experiences $5 m/s^2$ acceleration upwards for 5 seconds, and then the engine cuts out. What is the maximum height it can reach?
A student is performing an experiment in which they have 2 balls. Ball A is dropped from rest at height $h$, and after traveling half the distance, the student throws ball B downwards such that both balls hit the ground at the same time. What is the initial velocity that the student imparted on Ball B?
A student is performing an experiment in which they have 2 balls. Ball A is dropped from rest at height $h$, and after traveling half the distance, the student throws ball B downwards such that both balls hit the ground at the same time. What is the initial velocity that the student imparted on Ball B?
Spheres 2 and 3 are launched upwards with initial speeds of 1 m/s and 2 m/s, respectively. If sphere 1, released from rest, hits the table for the sixth time at $t = 7$ seconds, what is the difference in the initial heights of spheres 2 and 3?
Spheres 2 and 3 are launched upwards with initial speeds of 1 m/s and 2 m/s, respectively. If sphere 1, released from rest, hits the table for the sixth time at $t = 7$ seconds, what is the difference in the initial heights of spheres 2 and 3?
A car speeding at 20 m/s passes a police car, which then accelerates at 2 m/s² to catch up. How long does it take for the police car to catch the speeding car?
A car speeding at 20 m/s passes a police car, which then accelerates at 2 m/s² to catch up. How long does it take for the police car to catch the speeding car?
Two spheres are rolling towards each other. Sphere 1 starts at $x = 0$ with a velocity of 10 m/s to the right and an acceleration of 2 m/s² to the right, while Sphere 2 starts at $x = 1000$ m with a velocity of 2 m/s to the left and an acceleration of -4 m/s². What is the velocity of Sphere 1 at the time of impact?
Two spheres are rolling towards each other. Sphere 1 starts at $x = 0$ with a velocity of 10 m/s to the right and an acceleration of 2 m/s² to the right, while Sphere 2 starts at $x = 1000$ m with a velocity of 2 m/s to the left and an acceleration of -4 m/s². What is the velocity of Sphere 1 at the time of impact?
Cars are lined up at a red light with 5.0 m spacing between them. Each car is 4.6 m long. When the light turns green, the cars accelerate at 1.22 m/s² for 10.0 seconds, then continue at a constant speed. If the light stays green for 90.0 seconds, how many cars make it through the intersection?
Cars are lined up at a red light with 5.0 m spacing between them. Each car is 4.6 m long. When the light turns green, the cars accelerate at 1.22 m/s² for 10.0 seconds, then continue at a constant speed. If the light stays green for 90.0 seconds, how many cars make it through the intersection?
Two steel spheres are dropped from a tower, with the second sphere released 0.5 seconds after the first. After 1.4 seconds from the initial drop of the first sphere, what is the distance between the two spheres?
Two steel spheres are dropped from a tower, with the second sphere released 0.5 seconds after the first. After 1.4 seconds from the initial drop of the first sphere, what is the distance between the two spheres?
A ball is tossed upwards with an initial speed of 2.0 m/s under free-fall conditions. Does the ball spend more time in the top 0.1 m of its trajectory or the bottom 0.1 m?
A ball is tossed upwards with an initial speed of 2.0 m/s under free-fall conditions. Does the ball spend more time in the top 0.1 m of its trajectory or the bottom 0.1 m?
A rocket is launched vertically upwards from a launchpad. Assuming the rocket experiences free fall after its fuel is exhausted, which of the following statements accurately describes the acceleration-time (a-t) graph of the rocket's motion?
A rocket is launched vertically upwards from a launchpad. Assuming the rocket experiences free fall after its fuel is exhausted, which of the following statements accurately describes the acceleration-time (a-t) graph of the rocket's motion?
A physics student decides to recreate the steel sphere experiment, but this time they want to determine the exact moment the spheres collide in mid-air after being dropped from the same tower. What additional information not provided in the original prompt, is absolutely necessary to accurately calculate the collision point?
A physics student decides to recreate the steel sphere experiment, but this time they want to determine the exact moment the spheres collide in mid-air after being dropped from the same tower. What additional information not provided in the original prompt, is absolutely necessary to accurately calculate the collision point?
An engineer reviewing the rocket launchpad data notes the rocket's velocity just before freefall was unexpectedly low, despite a nominal thrust profile. Reviewing telemetry, they observe that the atmospheric pressure was significantly higher than forecast. How would a higher atmospheric pressure most significantly alter the rockets trajectory, compared to the predicted trajectory from the rocket's design parameters alone?
An engineer reviewing the rocket launchpad data notes the rocket's velocity just before freefall was unexpectedly low, despite a nominal thrust profile. Reviewing telemetry, they observe that the atmospheric pressure was significantly higher than forecast. How would a higher atmospheric pressure most significantly alter the rockets trajectory, compared to the predicted trajectory from the rocket's design parameters alone?
An object moving along the x-axis has an initial speed of 2 m/s and a constant acceleration of 2 m/s². What will its speed be at t = 10 s?
An object moving along the x-axis has an initial speed of 2 m/s and a constant acceleration of 2 m/s². What will its speed be at t = 10 s?
For an object accelerating uniformly in one-dimensional motion, which has a greater effect on displacement: doubling the initial velocity or doubling the time of acceleration?
For an object accelerating uniformly in one-dimensional motion, which has a greater effect on displacement: doubling the initial velocity or doubling the time of acceleration?
A small ball is released from a window. Assuming free-fall conditions, how far does it travel in 2.8 seconds, and would a ball with more mass fall a greater distance?
A small ball is released from a window. Assuming free-fall conditions, how far does it travel in 2.8 seconds, and would a ball with more mass fall a greater distance?
Three spheres are held at different heights above a table. Sphere 1 is closest, and Sphere 3 is furthest. Assuming perfectly elastic collisions, at what speed must Sphere 3 be traveling downward initially to hit the table simultaneously with Sphere 1, given Sphere 1 hits the table in 0.64 seconds?
Three spheres are held at different heights above a table. Sphere 1 is closest, and Sphere 3 is furthest. Assuming perfectly elastic collisions, at what speed must Sphere 3 be traveling downward initially to hit the table simultaneously with Sphere 1, given Sphere 1 hits the table in 0.64 seconds?
A box slides down an inclined plane with constant acceleration starting from rest. If it travels 2 meters in the first second, how far will it have traveled by the end of the second second?
A box slides down an inclined plane with constant acceleration starting from rest. If it travels 2 meters in the first second, how far will it have traveled by the end of the second second?
Two cars start at the same point and travel in the same direction along a straight road. Car A accelerates constantly at 3 m/s², and Car B travels at a constant velocity of 15 m/s. How long will it take for Car A to catch up to Car B?
Two cars start at the same point and travel in the same direction along a straight road. Car A accelerates constantly at 3 m/s², and Car B travels at a constant velocity of 15 m/s. How long will it take for Car A to catch up to Car B?
A projectile is launched at an angle of 30 degrees above the horizontal with an initial velocity $v_0$. At what other launch angle would the projectile have the same range, assuming the ground is level and air resistance is negligible?
A projectile is launched at an angle of 30 degrees above the horizontal with an initial velocity $v_0$. At what other launch angle would the projectile have the same range, assuming the ground is level and air resistance is negligible?
A train is traveling at a constant speed of 30 m/s when the engineer sees a cow on the tracks 200 m ahead. The engineer applies the brakes, causing a constant deceleration of -1.5 m/s². What is the train's speed when it hits the cow (assuming the cow remains stationary)?
A train is traveling at a constant speed of 30 m/s when the engineer sees a cow on the tracks 200 m ahead. The engineer applies the brakes, causing a constant deceleration of -1.5 m/s². What is the train's speed when it hits the cow (assuming the cow remains stationary)?
Imagine a scenario where the acceleration due to gravity instantaneously reverses direction. You throw a ball upwards with an initial velocity $v_0$. What would be the velocity of the ball when it returns to your hand?
Imagine a scenario where the acceleration due to gravity instantaneously reverses direction. You throw a ball upwards with an initial velocity $v_0$. What would be the velocity of the ball when it returns to your hand?
Flashcards
Scalar
Scalar
A quantity that has magnitude only (e.g., mass, temperature, time).
Vector
Vector
A quantity that has both magnitude and direction (e.g., velocity, force).
Component Method
Component Method
Breaking down vectors into horizontal and vertical components to simplify addition.
Horizontal Component Sum
Horizontal Component Sum
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Vertical Component Sum
Vertical Component Sum
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Dot Product
Dot Product
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Perpendicular Vectors Dot Product
Perpendicular Vectors Dot Product
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Force
Force
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Newton's Third Law
Newton's Third Law
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Inertia
Inertia
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Mass
Mass
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Weight
Weight
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Acceleration
Acceleration
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Speed
Speed
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Velocity
Velocity
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Uniform Acceleration
Uniform Acceleration
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Displacement
Displacement
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Distance
Distance
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Average Speed
Average Speed
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Average Velocity
Average Velocity
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Average Acceleration
Average Acceleration
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Pythagorean Theorem
Pythagorean Theorem
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Cross Product
Cross Product
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Motion
Motion
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Kinematics
Kinematics
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Dynamics
Dynamics
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Scalar vs Vector
Scalar vs Vector
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Uniform Accelerated Motion
Uniform Accelerated Motion
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Free Fall
Free Fall
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Acceleration due to gravity
Acceleration due to gravity
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Air resistance
Air resistance
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Projectile Motion
Projectile Motion
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Mass Effect (Projectile Motion)
Mass Effect (Projectile Motion)
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Peak Height
Peak Height
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Range
Range
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Optimal Projectile Angle
Optimal Projectile Angle
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Max height reached
Max height reached
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Scalar Quantity
Scalar Quantity
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Vector Quantity
Vector Quantity
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Projectile Range
Projectile Range
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Force Definition
Force Definition
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Fundamental forces
Fundamental forces
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Newton's First Law
Newton's First Law
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Dot Product Definition
Dot Product Definition
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Cross Product Definition
Cross Product Definition
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Kinematics Definition
Kinematics Definition
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Dynamics Definition
Dynamics Definition
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Distance Definition
Distance Definition
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Displacement Definition
Displacement Definition
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Dot Product Calculation
Dot Product Calculation
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Motion (Definition)
Motion (Definition)
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Total Distance Traveled
Total Distance Traveled
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Range (Projectile Motion)
Range (Projectile Motion)
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Projectile Mass Effect
Projectile Mass Effect
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Maximum Height
Maximum Height
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Optimal Launch Angle
Optimal Launch Angle
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Horizontal component
Horizontal component
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Vertical Component
Vertical Component
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Resultant magnitude
Resultant magnitude
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Resultant direction
Resultant direction
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What is Force?
What is Force?
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Newton's 3rd Law
Newton's 3rd Law
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What is Inertia?
What is Inertia?
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What is Mass?
What is Mass?
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What is Weight?
What is Weight?
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What is the Dot Product?
What is the Dot Product?
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What is the Cross Product?
What is the Cross Product?
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What is Kinematics?
What is Kinematics?
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What is Dynamics?
What is Dynamics?
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What is Distance?
What is Distance?
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What is Displacement?
What is Displacement?
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Cross Product Result (90°)
Cross Product Result (90°)
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Cross Product Result (30°)
Cross Product Result (30°)
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Magnitude of Vector A
Magnitude of Vector A
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Mass in Projectile Motion
Mass in Projectile Motion
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Peak Height (Projectile)
Peak Height (Projectile)
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Range (Projectile)
Range (Projectile)
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Optimal Angle (Projectile)
Optimal Angle (Projectile)
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Uniform Motion
Uniform Motion
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Friction
Friction
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Mass Definition
Mass Definition
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Weight Definition
Weight Definition
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Kinematics Defined
Kinematics Defined
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Dynamics Defined
Dynamics Defined
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Distance Defined
Distance Defined
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Displacement Defined
Displacement Defined
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Dot Product with Perpendicular Vectors
Dot Product with Perpendicular Vectors
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Average Velocity Definition
Average Velocity Definition
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Resultant Displacement
Resultant Displacement
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Gravity
Gravity
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Free Fall Definition
Free Fall Definition
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Gravitational Acceleration
Gravitational Acceleration
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Projectile Motion Def
Projectile Motion Def
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Peak Height Definition
Peak Height Definition
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Definition of Range
Definition of Range
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Uniform Acceleration Def
Uniform Acceleration Def
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Initial speed
Initial speed
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Time Reach Ground
Time Reach Ground
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Final velocity
Final velocity
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What is a Scalar?
What is a Scalar?
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What is a Vector?
What is a Vector?
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What direction does an object move when 50 N of E is specified?
What direction does an object move when 50 N of E is specified?
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What direction does an object move when 45 N of W is specified?
What direction does an object move when 45 N of W is specified?
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What direction does an object move when 20 S of E is specified?
What direction does an object move when 20 S of E is specified?
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What direction is assumed when only N is specified?
What direction is assumed when only N is specified?
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Dot Product Result
Dot Product Result
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What is Acceleration?
What is Acceleration?
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Ways to Accelerate
Ways to Accelerate
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Example of Acceleration
Example of Acceleration
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Constant Acceleration Equations
Constant Acceleration Equations
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What is Average Speed?
What is Average Speed?
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What is Average Velocity?
What is Average Velocity?
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What is Average Acceleration?
What is Average Acceleration?
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Speed and Velocity
Speed and Velocity
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Brick falling from Scaffold
Brick falling from Scaffold
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=t+½g formula
=t+½g formula
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Gravity's Acceleration
Gravity's Acceleration
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Projectile Trajectory
Projectile Trajectory
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Air Resistance Force
Air Resistance Force
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Mass and Projectiles
Mass and Projectiles
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Max Height (Projectile)
Max Height (Projectile)
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Calculate time to ground
Calculate time to ground
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Impact Velocity
Impact Velocity
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Vector Direction
Vector Direction
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Vector Resolution
Vector Resolution
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Uniform Motion Definition
Uniform Motion Definition
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Acceleration: Changing Lanes
Acceleration: Changing Lanes
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What is Uniform Acceleration?
What is Uniform Acceleration?
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What is Speed?
What is Speed?
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What is Velocity?
What is Velocity?
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Mass vs. Weight
Mass vs. Weight
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What is Free Fall?
What is Free Fall?
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What is 'g'?
What is 'g'?
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What is a Projectile?
What is a Projectile?
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What is Range?
What is Range?
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What is Maximum Height?
What is Maximum Height?
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Does mass matter?
Does mass matter?
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Affected by gravity
Affected by gravity
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Falling body
Falling body
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Max Height projectile reached
Max Height projectile reached
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earth's gravity
earth's gravity
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Displacement Formula
Displacement Formula
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Velocity-Displacement Relation
Velocity-Displacement Relation
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Position as a Function of Time
Position as a Function of Time
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Constant Acceleration
Constant Acceleration
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Catch Up Point
Catch Up Point
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Quadratic formula
Quadratic formula
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Finding the Velocity
Finding the Velocity
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Distance cars moved
Distance cars moved
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Sphere 1 calculation
Sphere 1 calculation
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Finding the speed
Finding the speed
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Final Velocity Formula
Final Velocity Formula
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Stopping Distance Calculation
Stopping Distance Calculation
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Time vs. Initial Velocity Impact
Time vs. Initial Velocity Impact
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Free-Fall Distance
Free-Fall Distance
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Mass and Free-Fall
Mass and Free-Fall
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Simultaneous Impact Velocity
Simultaneous Impact Velocity
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Weight Defined
Weight Defined
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Stopping Distance Problem
Stopping Distance Problem
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Displacement Factors
Displacement Factors
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Simultaneous Impact Speed
Simultaneous Impact Speed
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Kinematic Equation
Kinematic Equation
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What is Projectile Motion?
What is Projectile Motion?
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What is Newton's Third Law?
What is Newton's Third Law?
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Study Notes
Scalar vs Vector
- Scalar quantities have only magnitude
- Vector quantities have both magnitude and direction
- Examples of scalar quantities include speed, mass, volume, and time
- Examples of vector quantities include velocity, weight, and friction
- A is 50 N of E specifies the direction of a vector; vector A is 50 Newtons to the East
- The direction of vector B is 45 Newtons to the West
- The direction of vector C is 20 Newtons to the South East
- The vector D is North
Component Method
- The component method is used when adding more than two vectors
- Resolve vectors into horizontal and vertical components; components may be positive or negative
- Determine the quadrant where the the resultant is to indicate vector direction
- Solve for the angle the resultant makes with the horizontal
Dot Product
- Dot product is a fundamental way to combine two vectors by evaluating how much two vectors point in the same direction
- Dot product calculation: a · b = |a| x |b| x cos(Θ)
- |a| represents magnitude (length) of vector a
- |b| represents magnitude (length) of vector b
- Θ is the angle between a and b
- Dot product can be calculated by using vectors expressed in matrix form
Cross product
- This yields the vector product with direction given by the right-hand rule
- Cross-product Calculation: a x b = |a| |b| sin(Θ) n
- |a| represents magnitude (length) of vector a
- |b| represents magnitude (length) of vector b
- θ is the angle between a and b
- n is the unit vector at right angles to both a and b
Defining Motion
- Kinematics involves quantitative description of motion without causes
- Dynamics analyzes why objects move, relating motion to force
Speed vs Velocity: More Information
- Velocity: vector quantity of the rate of change of position
- Speed: Scalar quantity and only signifies the magnitude of change of position
Acceleration: Types
- Acceleration is the rate of change of velocity
- Velocity changes with speed (increasing or decreasing), direction, or both
Free Fall: Extra Information
- Under gravitational force, acceleration is constant in free fall.
- In a vacuum, controlling for air resistance, objects fall at the same rate
Projectile Motion: More Details
- Max height possibly obtained w/ launch angle of 90 degrees
- If launch angle reduced, height is reduced due to reduction in vertical launch speed.
- Max range can be obtained is 2H which is possible w/ launch angle of 45 degrees
- A student running in a track meet started a run by reaching 200m in 30s then ran 300m in 30s, thus requiring calculating acceleration
Newton's Laws of Motion and Force
- A force is the influence that changes the motion of an object; measured in Newtons (N)
- Forces can cause object with mass to accelerate.
- The four fundamental forces: gravity, electromagnetism, strong nuclear force, and weak nuclear force
- First Law: A body remains in motion or at rest unless acted upon by a force.
- Second Law: Force equals mass times acceleration (F = ma)
- Third Law: For every action, there is an equal and opposite reaction
- Balanced forces have a resultant force of zero leading to no acceleration
- Unbalanced forces create a non-zero resultant force, producing acceleration
Friction - The Basics
- Static CoF, initial force that is required to break static friction and start objects motion
- Kinetic CoF is the applied force required to keep an object in motion
- Friction of moving object proportional/ perpendicular to normal force
- Friction experienced is related to nature of surface contact
- Friction is not determined by are of contact so long as there is an area of contact
- Kinetic friction is independent of velocity
- Static friction tends to be greater than kinetic friction
Relationships of Friction
- Smaller surface = distance = smaller friction
- Rough surface = Bigger friction
- Smooth surface = Smaller friction
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Description
Test your knowledge of force and motion concepts, including SI units, Newton's laws, inertia, and vector operations. Explore scalar and vector quantities, vector addition, and kinematics.
