Lesson Q3

Q3 Constant acceleration formulae Quiz: AQA Maths, Unit 12

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson Q3, Constant acceleration formulae: 20 multiple choice questions for the AQA Maths (7357), Unit 12: Mechanics, written with Revision Ninja.

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The 20 questions

  1. Which constant-acceleration formula relates v, u, a and t?

    • v^2 = u^2 + 2as
    • s = ut + (1/2)at^2
    • v = u + at
    • s = vt + at^2

  2. Which constant-acceleration formula does not involve time t?

    • v^2 = u^2 + 2as
    • s = (u + v)t / 2
    • v = u + at
    • s = ut + (1/2)at^2

  3. A body has u = 4 m s^-1, a = 3 m s^-2 and t = 5 s. What is v?

    • 12 m s^-1
    • 7 m s^-1
    • 15 m s^-1
    • 19 m s^-1

  4. A body starts from rest with a = 2 m s^-2. How far does it travel in 6 s?

    • 12 m
    • 72 m
    • 36 m
    • 18 m

  5. A body's velocity changes uniformly from 10 m s^-1 to 30 m s^-1 in 4 s. What is its displacement?

    • 20 m
    • 160 m
    • 80 m
    • 40 m

  6. A car moving at 20 m s^-1 decelerates uniformly at 5 m s^-2 until it stops. How far does it travel?

    • 80 m
    • 40 m
    • 100 m
    • 20 m

  7. Which step is used to derive v = u + at from the definition of acceleration?

    • Rearranging a = (v - u)/t
    • Differentiating velocity with respect to displacement
    • Using s = vt for the whole journey
    • Integrating displacement with respect to time

  8. Why does s = (u + v)t/2 hold for constant acceleration?

    • Acceleration equals the average velocity
    • The velocity-time graph is a rectangle
    • The average velocity is (u + v)/2 when acceleration is constant
    • Displacement equals the product of u and v

  9. A body has u = 5 m s^-1, v = 17 m s^-1 and a = 3 m s^-2. What is the displacement?

    • 44 m
    • 66 m
    • 22 m
    • 88 m

  10. A particle has initial velocity u = 3i + 4j m s^-1 and constant acceleration a = 2i m s^-2. What is its velocity after 2 s?

    • 3i + 8j m s^-1
    • 7i + 8j m s^-1
    • 7i + 4j m s^-1
    • 5i + 4j m s^-1

  11. A particle has u = 2i + j m s^-1 and a = i - 2j m s^-2. What is its displacement after 2 s?

    • 8i - 6j m
    • 2i - 4j m
    • 6i - 2j m
    • 4i + 2j m

  12. A body starts from rest with constant acceleration 2 m s^-2. How far does it travel in the first 3 s?

    • 18 m
    • 12 m
    • 6 m
    • 9 m

  13. A body accelerates uniformly from 5 m s^-1 to 25 m s^-1 at 4 m s^-2. How long does this take?

    • 20 s
    • 5 s
    • 4 s
    • 6 s

  14. A particle starts from rest and has constant acceleration 3 m s^-2. What is the ratio of its displacement after 4 s to its displacement after 2 s?

    • 2:3
    • 4:1
    • 2:1
    • 3:1

  15. A car accelerates from 10 m s^-1 to 30 m s^-1 in 8 s, then decelerates uniformly to rest in 5 s. What is the total distance?

    • 75 m
    • 160 m
    • 200 m
    • 235 m

  16. A body starts from rest with constant acceleration and travels 6 m during the second second. What is its acceleration?

    • 4 m s^-2
    • 12 m s^-2
    • 3 m s^-2
    • 2 m s^-2

  17. Which combination of formulas proves v^2 = u^2 + 2as?

    • Set a = 0 in v = u + at
    • Use s = vt only, with t = 2s/v
    • Use v = u + at to get t = (v - u)/a and substitute into s = (u + v)t/2
    • Differentiate s with respect to t

  18. A stone is thrown vertically upwards at 15 m s^-1 with a = -10 m s^-2. How long does it take to reach its highest point?

    • 3 s
    • 0.67 s
    • 1.5 s
    • 15 s

  19. The same stone is thrown vertically upwards at 15 m s^-1 with g = 10 m s^-2. What is its maximum height above the launch point?

    • 7.5 m
    • 11.25 m
    • 15 m
    • 22.5 m

  20. A train starts from rest with a = 0.5 m s^-2 and must reach 20 m s^-1. How far does it travel?

    • 400 m
    • 800 m
    • 40 m
    • 200 m

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