Kinematics: Motion in a Straight Line

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Questions and Answers

A car is traveling at a constant velocity. Which statement accurately describes its instantaneous acceleration?

  • It is constantly decreasing.
  • It is constantly increasing.
  • It is equal to its average acceleration.
  • It is equal to zero. (correct)

What distinguishes velocity from speed?

  • Velocity is always greater than speed because it accounts for air resistance.
  • Velocity is scalar, while speed is a vector.
  • Velocity is measured in m/s, while speed is measured in km/h.
  • Velocity includes direction, while speed does not. (correct)

A ball is thrown upwards. At its maximum height, what is its instantaneous vertical velocity?

  • It is equal to zero. (correct)
  • It is equal to its initial velocity.
  • It is constantly increasing.
  • It is at its maximum value.

What condition is necessary for an object to reach terminal velocity?

<p>The force of air resistance must equal the force of gravity. (B)</p> Signup and view all the answers

How does air resistance affect the acceleration of a falling object?

<p>It decreases the object's acceleration. (A)</p> Signup and view all the answers

A projectile is launched at an angle. Assuming no air resistance, what force acts on it in the vertical direction?

<p>Gravity (B)</p> Signup and view all the answers

A projectile is fired horizontally. Neglecting air resistance, what can be said about its horizontal velocity?

<p>It remains constant. (C)</p> Signup and view all the answers

In projectile motion, what is the vertical acceleration of the object (neglecting air resistance)?

<p>9.8 m/s² downwards (B)</p> Signup and view all the answers

An object is in uniform circular motion. What is the direction of the centripetal force acting on it?

<p>Towards the center of the circle (A)</p> Signup and view all the answers

What distinguishes uniform circular motion from non-uniform circular motion?

<p>Uniform circular motion has constant speed, while non-uniform does not. (C)</p> Signup and view all the answers

According to Newton's Law of Universal Gravitation, what happens to the gravitational force if the distance between two objects is doubled?

<p>It reduces to one-quarter. (B)</p> Signup and view all the answers

Which factor has the greatest influence on the orbital period of a satellite?

<p>The satellite's orbital radius (B)</p> Signup and view all the answers

How is the relative velocity between two objects calculated when they are moving in the same direction?

<p>Subtract one velocity from the other. (A)</p> Signup and view all the answers

What is a 'frame of reference'?

<p>A coordinate system used to measure motion. (D)</p> Signup and view all the answers

An object accelerates uniformly from rest at $2 m/s^2$ for 5 seconds. What is the object's velocity at the end of the 5 seconds?

<p>$10 m/s$ (D)</p> Signup and view all the answers

A car increases its velocity from 10 m/s to 20 m/s over a period of 5 seconds. What is the car's average acceleration?

<p>$2 m/s^2$ (D)</p> Signup and view all the answers

A freely falling object starts from rest. After 3 seconds, what is its approximate velocity (neglecting air resistance)?

<p>$29.4 m/s$ (C)</p> Signup and view all the answers

An object is thrown vertically upwards with an initial velocity of 15 m/s. Approximately how long will it take to reach its maximum height (neglecting air resistance)?

<p>1.5 s (D)</p> Signup and view all the answers

A ball is thrown horizontally from a height of 20 meters with a velocity of 5 m/s. How far will it travel horizontally before hitting the ground (neglecting air resistance)?

<p>10 m (A)</p> Signup and view all the answers

A car rounds a curve of radius 50 m at a speed of 10 m/s. What is the centripetal acceleration of the car?

<p>$2 m/s^2$ (A)</p> Signup and view all the answers

A satellite orbits Earth at a certain altitude. If the satellite is moved to a higher orbit, what happens to its orbital speed?

<p>It decreases. (C)</p> Signup and view all the answers

Two cars are approaching an intersection. Car A is traveling north at 20 m/s and Car B is traveling east at 30 m/s. What is the approximate magnitude of the velocity of Car A relative to Car B?

<p>$36 m/s$ (C)</p> Signup and view all the answers

A train travels 120 km in 2 hours and then 180 km in 3 hours. What is its average speed for the entire journey?

<p>$60 km/h$ (B)</p> Signup and view all the answers

An object's motion is represented by a displacement-time graph. What does the slope of the graph at a particular point represent?

<p>Instantaneous velocity (B)</p> Signup and view all the answers

What does the area under a velocity-time graph represent?

<p>Displacement (B)</p> Signup and view all the answers

A car accelerates from rest with a constant acceleration. Which statement about the distance traveled during equal time intervals is true?

<p>The distance traveled increases quadratically with time. (B)</p> Signup and view all the answers

A ball is thrown upwards and returns to its original height. What is the balls final direction?

<p>Downwards (B)</p> Signup and view all the answers

What does g represent in equations related to free-falling bodies?

<p>Acceleration due to gravity (B)</p> Signup and view all the answers

Which one is not projectile motion?

<p>Launched Rocket (D)</p> Signup and view all the answers

Flashcards

Reference Frame

A rigid framework used to measure the motion of an object.

Average Velocity

Total displacement divided by total time.

Instantaneous Velocity

Velocity of an object at a specific point in time.

Average Acceleration

The rate of change of velocity divided by time.

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Instantaneous Acceleration

Acceleration of an object at a specific point in time.

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Free Body Diagram

Shows all forces acting on a body; indicates size and direction of forces.

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Terminal Velocity

The constant speed achieved when air resistance equals gravity.

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Projectile

Objects launched into the air and subject to gravity's effect.

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Trajectory

The path a moving projectile follows though space.

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Maximum Height

The maximum vertical distance a projectile reaches.

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Range

The horizontal distance traveled by a projectile.

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Time of Flight

The duration of a projectile's motion, from launch to landing.

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Uniform Circular Motion

Motion at constant speed in a circle.

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Centripetal Force

The force directed towards the center of the circle.

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Absolute Velocity

Velocity observed from a stationery frame of reference.

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Relative Velocity

The vector difference between the velocities of two objects.

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Study Notes

  • Kinematics is motion
  • Unit 3 will consider motion in more than one direction, using vectors

Motion in a Straight Line

  • Motion can be described using vector analysis
  • A reference frame is a rigid framework or coordinate system used to measure an object's motion
  • Average speed involves the total distance over the total time, while instantaneous speed is the speed at a specific moment
  • Instantaneous acceleration describes how quickly an object's velocity changes at a precise moment
  • Kinematics problems related to average and instantaneous velocity, as well as acceleration, can be approached using quantitative and qualitative methods
  • Apply equations of motion to solve problems
  • Graphs can be drawn from kinematics equations
  • Interpret displacement-time, velocity-time and acceleration-time graphs

Frame of Reference

  • A frame of reference is the perspective from which motion is observed and measured
  • Different observers may have different frames of reference
  • It is crucial to have an agreed frame of reference for consistent and shared understanding of observations

Average and Instantaneous Velocity

  • In physics, velocity and speed are distinct
  • Velocity is a vector, which includes both magnitude and direction
  • Speed is a scalar with only magnitude
  • Average velocity considers total displacement in a direction over total time
  • Instantaneous velocity is the velocity at a specific point in time

Average and Instantaneous Acceleration

  • Average acceleration is the change in velocity divided by the time taken for that change
  • Instantaneous acceleration is the acceleration of an object at a specific point in time
  • Instantaneous and average acceleration can differ, as illustrated by a bus journey

Motion with Constant Acceleration

  • When an object's velocity and acceleration share the same sign, the object speeds up
  • When they have different signs, the object slows down.

Freely Falling Bodies

  • Free body diagram is a simplified diagram of an object showing all the forces acting on it
  • A falling object experiences almost constant acceleration due to gravity on Earth.
  • Air resistance opposes motion and reduces acceleration
  • As a falling object accelerates, air resistance increases
  • Eventually, the force of air resistance equals gravity, at which point the object reaches terminal velocity.

Graphical Representation of Motion

  • Displacement-time graphs plot position versus time, with the slope representing velocity
  • Steeper slopes indicate faster velocities
  • Uniform slopes mean constant velocity
  • Velocity-time graphs plot velocity versus time, with the slope representing acceleration
  • The area under a velocity-time graph represents displacement

Motion in a Plane

  • Analyze and predict projectile motion by considering horizontal and vertical components separately
  • Derive and apply equations related to projectile motion for problem solving

Projectile Motion

  • Projectile: Any object thrown into the air acted on by gravity, where the force only occurs at the point of launch (e.g. ball)
  • Trajectory: The path of the projectile
  • To analyze projectile motion, one must resolve motion into horizontal and vertical components

Uniform Circular Motion

  • Circular motion requires a constant force directed towards the center of the circle
  • Define centripetal force (the force acting on a body moving in a circle which is directed towards the centre of the circle) and centripetal acceleration (the force acting on a body moving in a circle which is directed towards the centre of the circle)
  • Distinguish between uniform and non-uniform circular motion
  • Angular Velocity: The rate at which an object rotates or revolves relative to a given time
  • Radian Measure: An angle is determined by the length of the arc of a circle divided by the radius of the circle

Radial Force

  • The force acting on a body moving in a circle which is directed towards the center of the circle

Motion of a Satellite

  • An airplane stays in orbit because of the force of gravity
  • Understand Newton's law of universal gravitation formula and apply it quantitatively to explain how they apply to planetary and satellite motion

Relative Velocities

  • The relative velocity of bodies refers to when two bodies are moving at an angle relative to each other
  • This can be determined
  • Use the relative velocity equation to convert between reference frames in relative motion

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