Constant Acceleration: Displacement-Time Graphs
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Questions and Answers

What is the unit of velocity on a velocity-time graph?

  • kilometres per hour
  • metres per second (correct)
  • centimetres per second
  • metres per hour

    • What is the significance of the gradient of a velocity-time graph?

  • It represents the initial velocity of the object
  • It represents the acceleration of the object (correct)
  • It represents the final velocity of the object
  • It represents the displacement of the object

    • What is the formula to calculate the displacement of an object with constant acceleration?

  • s = vt - at² (correct)
  • s = vt + at²
  • s = ut + at²
  • s = ut - at²

    • What is the unit of acceleration in the formula v = u + at?

    <p>metres per second squared</p> Signup and view all the answers

    What is the formula to calculate the velocity of an object with constant acceleration?

    <p>v = u + at</p> Signup and view all the answers

    What is the initial velocity represented by in the formula v = u + at?

    <p>u</p> Signup and view all the answers

    What is the unit of measurement for displacement in a displacement-time graph?

    <p>Metres</p> Signup and view all the answers

    What is represented by the area under a velocity-time graph?

    <p>Displacement</p> Signup and view all the answers

    What is the physical quantity represented by the gradient of a displacement-time graph?

    <p>Velocity</p> Signup and view all the answers

    If an object is moving with a constant velocity, what is the shape of its displacement-time graph?

    <p>Straight</p> Signup and view all the answers

    What does a horizontal line on a displacement-time graph indicate?

    <p>An object is stationary</p> Signup and view all the answers

    What is the relationship between velocity and acceleration?

    <p>Velocity is the rate of change of displacement</p> Signup and view all the answers

    What is the acceleration of an object falling under gravity, ignoring air resistance?

    <p>9.8 m/s²</p> Signup and view all the answers

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

    <p>Distance travelled</p> Signup and view all the answers

    What is the formula for calculating the final velocity of an object, given its initial velocity and acceleration?

    <p>v = u + at</p> Signup and view all the answers

    What is the meaning of a negative g value in a vertical motion?

    <p>The object is moving upwards</p> Signup and view all the answers

    What does the gradient of a velocity-time graph represent?

    <p>Acceleration</p> Signup and view all the answers

    What is the unit of acceleration due to gravity?

    <p>m/s²</p> Signup and view all the answers

    Study Notes

    Kinematics

    • v² = u² + 2as is the formula for an object's position after a certain time
    • The formula can be rearranged to v = u + at, which represents the velocity of an object after a certain time
    • The area under a velocity-time graph represents the distance traveled by an object
    • Acceleration is the rate of change of velocity, represented by the gradients of velocity-time graphs

    Velocity-Time Graphs

    • Velocity is always plotted on the vertical axis and time on the horizontal axis
    • Velocity-time graphs can be used to find the distance traveled by an object
    • The gradient of a velocity-time graph represents the acceleration of an object

    Constant Acceleration

    • Constant acceleration is represented by a straight line on a velocity-time graph
    • The formula v = u + at can be used to find the velocity of an object after a certain time
    • The formula s = ut + (1/2)at² can be used to find the displacement of an object after a certain time
    • The formula v² = u² + 2as can be used to find the velocity of an object after a certain displacement

    Deceleration

    • Deceleration is a negative acceleration
    • The formula v = u + at can be used to find the deceleration of an object
    • The gradient of a velocity-time graph represents the deceleration of an object

    Displacement-Time Graphs

    • Displacement is always plotted on the vertical axis and time on the horizontal axis
    • Displacement-time graphs can be used to find the velocity of an object
    • The gradient of a displacement-time graph represents the velocity of an object

    Vertical Motion Under Gravity

    • When an object is free falling under gravity, its acceleration is constant and independent of its weight or mass
    • The acceleration due to gravity is 9.8 ms², which can be represented by the symbol g
    • A downward vertical motion has a positive g value, while an upward motion caused by gravity has a negative g value

    Average Velocity and Average Speed

    • Average velocity is the displacement from the starting point divided by the time taken
    • Average speed is the total distance traveled divided by the time taken

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    Description

    Test your understanding of displacement-time graphs, where displacement is plotted on the vertical axis and time on the horizontal axis. Learn how to analyze motion using these graphs, including constant speed and deceleration.

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