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What does it mean for an object to have uniform acceleration?
What does it mean for an object to have uniform acceleration?
Which sequence is correct for solving a kinematics problem?
Which sequence is correct for solving a kinematics problem?
What is the acceleration of a jeepney that uniformly accelerates from rest and covers 15 m in 3.25 seconds?
What is the acceleration of a jeepney that uniformly accelerates from rest and covers 15 m in 3.25 seconds?
During free fall, what is the approximate acceleration experienced by an object at Earth's surface?
During free fall, what is the approximate acceleration experienced by an object at Earth's surface?
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If a race car accelerates from 18.5 m/s to 46.1 m/s in 2.47 seconds, what are the key variables needed to find its acceleration?
If a race car accelerates from 18.5 m/s to 46.1 m/s in 2.47 seconds, what are the key variables needed to find its acceleration?
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What is the minimum runway length needed for an airplane to reach a speed of 61.1 m/s while accelerating at 2.5 m/s²?
What is the minimum runway length needed for an airplane to reach a speed of 61.1 m/s while accelerating at 2.5 m/s²?
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What equation would you use to find the distance covered by an object during uniformly accelerated motion?
What equation would you use to find the distance covered by an object during uniformly accelerated motion?
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What is the primary factor affecting free fall acceleration?
What is the primary factor affecting free fall acceleration?
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A projectile moves in a linear path rather than a parabolic path.
A projectile moves in a linear path rather than a parabolic path.
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In projectile motion, the acceleration in the horizontal direction is zero.
In projectile motion, the acceleration in the horizontal direction is zero.
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The range of a projectile is its maximum vertical displacement.
The range of a projectile is its maximum vertical displacement.
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The time of flight is defined as the total time a projectile is in the air.
The time of flight is defined as the total time a projectile is in the air.
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Maximum height is reached when the final velocity of the projectile is at its greatest.
Maximum height is reached when the final velocity of the projectile is at its greatest.
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The vertical motion of a projectile can be analyzed independently from its horizontal motion.
The vertical motion of a projectile can be analyzed independently from its horizontal motion.
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Air resistance has a significant effect on projectile motion in a vacuum.
Air resistance has a significant effect on projectile motion in a vacuum.
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The initial velocity of a projectile can only be expressed as a single component.
The initial velocity of a projectile can only be expressed as a single component.
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The x component of the velocity changes throughout the range of motion.
The x component of the velocity changes throughout the range of motion.
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The y-component of an object's velocity during free fall is only influenced by acceleration due to gravity.
The y-component of an object's velocity during free fall is only influenced by acceleration due to gravity.
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When an object reaches its maximum height, the y component of its velocity becomes positive.
When an object reaches its maximum height, the y component of its velocity becomes positive.
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In a projectile motion, gravity acts against the velocity until the maximum height is reached.
In a projectile motion, gravity acts against the velocity until the maximum height is reached.
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A ball kicked horizontally off a 32-meter tall building has zero initial horizontal velocity.
A ball kicked horizontally off a 32-meter tall building has zero initial horizontal velocity.
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An object moving at constant horizontal velocity experiences zero vertical displacement.
An object moving at constant horizontal velocity experiences zero vertical displacement.
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The horizontal distance during projectile motion is independent of the height from which it is launched.
The horizontal distance during projectile motion is independent of the height from which it is launched.
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An object falling from a height of 50 m will take the same time to fall as an object falling from 100 m if dropped simultaneously.
An object falling from a height of 50 m will take the same time to fall as an object falling from 100 m if dropped simultaneously.
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Study Notes
Uniformly Accelerated Motion: Horizontal Dimension
- Uniform acceleration occurs when a body's velocity changes constantly over a specific time interval along a straight line.
- A technique is used to solve kinematics problems:
- Identify the four variables involved in the problem, usually three known values and one unknown.
- Choose the equation that relates these four variables.
- The steps to solve a kinematics problem:
- Identify the given values.
- Identify the variables to be found.
- Write down the equations used.
- Substitute the values into the equations.
- Determine the answers.
Sample Problems
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Sample problem 1: An airplane accelerates from rest at 5.50 m/s2 for 20.25 seconds before takeoff. Calculate the distance traveled.
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Sample problem 2: A jeepney accelerates uniformly from rest over 3.25 seconds and covers 15 meters. Calculate the jeepney's acceleration.
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Sample problem 3: A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Calculate the car's acceleration and the distance traveled.
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Sample problem 4: A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 meters. Calculate the bike's acceleration.
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Sample problem 5: An engineer is designing a runway for an airport and needs to determine:
- a. The time it takes for an airplane to reach a takeoff speed of 61.1 m/s with an acceleration of 2.5 m/s2.
- b. The minimum runway length required.
Uniformly Accelerated Motion: Vertical Dimension
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Free fall is the motion of an object falling towards a planet's surface with consantt acceleration, neglecting air resistance.
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Free fall acceleration, denoted by "ag", is due to gravity.
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At the Earth's surface, free fall acceleration is approximately -9.8 m/s2 or -32 ft./s2.
Projectile Motion
- Projectile motion is a type of motion where an object moves in a parabolic path.
- The path the object follows is called its trajectory.
- A projectile is an object thrown into the air that continues to move on its trajectory acted upon by gravity.
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Elements of Projectile Motion
- When launching, a projectile is given an initial velocity at an initial angle.
- As it travels, it displaces in two dimensions, along the horizontal and along the vertical.
- The projectile hits the earth or a target with a final velocity.
Projectile Motion Factors
- Time of flight: The entire duration the projectile is in its trajectory.
- Range: The maximum horizontal distance traveled by the projectile.
- Maximum height: The maximum vertical displacement traveled by the projectile in its trajectory.
- Initial Velocity: The initial velocity can be expressed as x and y components.
- Acceleration: In projectile motion, there is no acceleration in the horizontal direction. The acceleration in the vertical direction is due to gravity.
Horizontal Motion
- The x component of the velocity is always constant throughout the range.
- The horizontal displacement follows a linear motion.
Vertical Motion
- The y component behaves as free-fall, and thus, is only affected by the acceleration due to gravity.
- Since the velocity is usually in an upward direction, from 0 to less than 90 degrees with respect to the horizontal, then upward is positive, downward is negative.
- Before reaching the maximum height, gravity acts against the velocity, slowing it down until it reaches zero.
- After reaching the maximum height, gravity is in the same direction as the velocity, speeding it up.
When the projectile is at its maximum height
- The x component of velocity is always constant.
- The y component of velocity is zero.
- The acceleration is still (g) and not zero.
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Description
Test your understanding of uniformly accelerated motion through a series of problems. This quiz covers techniques for solving kinematics problems along a horizontal dimension, including identifying variables and applying relevant equations. Practice with sample problems to enhance your skills in calculating acceleration and distance.
