Lesson 3.02c

3.02c Displacement-time and velocity-time graphs Quiz: OCR Maths, Unit 17

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3.02c, Displacement-time and velocity-time graphs: 20 multiple choice questions for the OCR Maths (H240), Unit 17: Kinematics, written with Revision Ninja.

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The 20 questions

  1. What physical quantity does the gradient of a displacement-time graph represent?

    • Acceleration
    • Distance
    • Speed
    • Velocity

  2. What physical quantity is given by the gradient of a velocity-time graph?

    • Acceleration
    • Velocity
    • Displacement
    • Jerk

  3. What does the area between a velocity-time graph and the time axis represent?

    • Acceleration
    • Speed
    • Displacement
    • Velocity

  4. Which constant acceleration formula relates initial velocity, final velocity, acceleration, and time?

    • v = u + at
    • v^2 = u^2 + at
    • v = u - at
    • s = ut + at

  5. What quantity is represented by the total area under a speed-time graph?

    • Displacement
    • Average speed
    • Acceleration
    • Total distance

  6. What state of motion does a horizontal straight line on a displacement-time graph show?

    • Increasing velocity
    • Constant acceleration
    • Constant velocity
    • Zero velocity

  7. What state of motion is represented by a horizontal line on a velocity-time graph?

    • Constant velocity
    • Constant acceleration
    • Zero velocity
    • Increasing speed

  8. Which SUVAT equation calculates displacement using final velocity, acceleration, and time?

    • s = vt + 0.5at^2
    • s = vt - at
    • s = ut - 0.5at^2
    • s = vt - 0.5at^2

  9. A car accelerates uniformly from rest to 20 m/s in 4 seconds. Find its acceleration.

    • 80 m/s^2
    • 10 m/s^2
    • 5 m/s^2
    • 4 m/s^2

  10. A ball falls from rest under gravity at 9.8 m/s^2 for 3 seconds. What is its final speed?

    • 14.7 m/s
    • 29.4 m/s
    • 44.1 m/s
    • 9.8 m/s

  11. A particle with initial velocity 3 m/s accelerates at 2 m/s^2 for 4 seconds. Calculate its displacement.

    • 28 m
    • 16 m
    • 20 m
    • 44 m

  12. A vehicle travels a displacement of 100 metres in a straight line over 5 seconds. What is its average velocity?

    • 500 m/s
    • 10 m/s
    • 20 m/s
    • 25 m/s

  13. A velocity-time graph forms a triangle with base 6 s and peak velocity 10 m/s. Find the displacement.

    • 60 m
    • 30 m
    • 20 m
    • 15 m

  14. A car slows uniformly from 15 m/s to 5 m/s in 5 seconds. What is its acceleration?

    • -1 m/s^2
    • -4 m/s^2
    • -2 m/s^2
    • 2 m/s^2

  15. An object has initial velocity (2i + 3j) m/s and acceleration (i - j) m/s^2. Find its velocity at 2 seconds.

    • (4i + j) m/s
    • (2i - 2j) m/s
    • (3i + 2j) m/s
    • (4i + 5j) m/s

  16. An object accelerates uniformly from 4 m/s to 12 m/s in 3 seconds. Find displacement s.

    • 16 m
    • 48 m
    • 36 m
    • 24 m

  17. A car accelerates from rest at 4 m/s^2 until reaching 20 m/s. How far does it travel?

    • 80 m
    • 25 m
    • 50 m
    • 100 m

  18. A particle has a constant acceleration vector of (3i + 4j) m/s^2. What is the magnitude of acceleration?

    • 7 m/s^2
    • 5 m/s^2
    • 1 m/s^2
    • 25 m/s^2

  19. A particle has initial velocity (i + 2j) m/s and constant acceleration (2i) m/s^2. Find position vector at 3 s.

    • (12i + 6j) m
    • (12i + 2j) m
    • (3i + 6j) m
    • (9i + 6j) m

  20. A ball is projected upwards at 19.6 m/s. Taking g = 9.8 m/s^2, how long until it reaches peak height?

    • 2 seconds
    • 9.8 seconds
    • 1 second
    • 4 seconds

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