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Pearson Edexcel International GCSE (9–1) · PHYSICS · Section

Area under a velocity-time graph gives distance travelled

16 practice questions

Practice questions

1–5 of 5 · Normal

  1. Question 1

    4 marks · Normal

    A sprinter runs a race. The velocity–time graph below shows her motion for the first 8 seconds of the race.

    line graph of Velocity (m/s) against Time (s)02468024681012Time (s)Velocity (m/s)
    Figure 1. Sprinter's velocity-time graph
    (a)

    Calculate the total distance the sprinter travels in the first 8 seconds.

    [3 marks]
    (b)

    Explain how the area under the graph represents the distance travelled.

    [1 mark]
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  2. Question 2

    2 marks · Normal

    A cyclist moves at a constant velocity of 6 m/s for 35 seconds. Calculate the distance travelled using the area under the velocity–time graph.

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  3. Question 3

    3 marks · Normal

    The graph shows the motion of a car as it accelerates uniformly from rest to 18 m/s in 6 seconds.

    line graph of Velocity (m/s) against Time (s)0123456702468101214161820Time (s)Velocity (m/s)
    Figure 2. Velocity-time graph for a car accelerating
    (a)

    Calculate the total distance the car travels in the first 6 seconds.

    [2 marks]
    (b)

    State the shape formed under the graph and briefly describe how you found the distance.

    [1 mark]
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  4. Question 4

    3 marks · Normal

    A runner moves at first with increasing speed, then at a steady speed, and finally slows to a stop. Describe how her velocity–time graph would look, and explain how you would calculate the total distance travelled from the graph.

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  5. Question 5

    2 marks · Normal

    What does the area under a velocity–time graph represent? Give an example of how you could find it for an object moving at constant velocity.

    Answer and see the solution →