Lesson 3.02d

3.02d Constant acceleration Quiz: OCR Maths, Unit 17

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3.02d, Constant acceleration: 20 multiple choice questions for the OCR Maths (H240), Unit 17: Kinematics, written with Revision Ninja.

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The 20 questions

  1. Which equation links final velocity v, initial velocity u, acceleration a and time t for constant acceleration?

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

  2. Which constant acceleration formula does NOT contain the time t?

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

  3. Which formula gives the displacement s in terms of u, a and t for constant acceleration?

    • s = ut + (1/2)at^2
    • s = (u + a)t
    • s = ut - (1/2)at^2
    • s = vt + at^2

  4. Which formula gives the displacement in terms of the average of the initial and final velocities and the time?

    • s = (u - v)t
    • s = (u + v)t
    • s = (1/2)(u + v)t
    • s = (1/2)(u - v)t^2

  5. Which formula gives the displacement in terms of the final velocity v, acceleration a and time t?

    • s = vt - (1/2)at^2
    • s = vt + at^2
    • s = (v - a)t
    • s = vt + (1/2)at^2

  6. What condition must be met to use the SUVAT equations of motion?

    • Constant velocity
    • Constant displacement
    • Zero acceleration
    • Constant acceleration

  7. Which operation is used to derive v = u + at from a = dv/dt?

    • Factorisation
    • Substitution
    • Differentiation
    • Integration

  8. A particle has initial velocity 4 m s^-1 and acceleration 3 m s^-2. What is its velocity after 5 s?

    • 19 m s^-1
    • 15 m s^-1
    • 23 m s^-1
    • 11 m s^-1

  9. A particle starts from rest with acceleration 2 m s^-2. How far has it travelled after 6 s?

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

  10. A car decelerates uniformly from 10 m s^-1 to rest with acceleration -5 m s^-2. How far does it travel before stopping?

    • 10 m
    • 20 m
    • 50 m
    • 2 m

  11. A particle has initial velocity 12 m s^-1 and final velocity 20 m s^-1 after 4 s with constant acceleration. What is the displacement?

    • 64 m
    • 32 m
    • 16 m
    • 128 m

  12. A particle moves with initial speed 5 m s^-1 and acceleration 2 m s^-2 through a displacement of 30 m. What is its final speed to 2 decimal places?

    • 7.07 m s^-1
    • 145 m s^-1
    • 12.04 m s^-1
    • 35 m s^-1

  13. A stone is dropped from rest and falls freely with acceleration 9.8 m s^-2 for 3 s. How far does it fall?

    • 44.1 m
    • 29.4 m
    • 14.7 m
    • 88.2 m

  14. A particle has initial velocity (2i + 3j) m s^-1 and constant acceleration (i - 2j) m s^-2. What is its velocity after 2 s?

    • (2i - j) m s^-1
    • (3i + j) m s^-1
    • (4i - j) m s^-1
    • (4i + 3j) m s^-1

  15. A particle has velocity 10 m s^-1 and acceleration 4 m s^-2 at time t = 0 at which it is at the origin. Using s = vt - (1/2)at^2, what is its displacement after 2 s?

    • 20 m
    • 4 m
    • 28 m
    • 12 m

  16. What shape represents the area under a straight-line velocity-time graph?

    • Trapezium
    • Parabola
    • Triangle
    • Rectangle

  17. A car accelerates uniformly from 10 m s^-1 to 30 m s^-1 in 8 s, then decelerates uniformly at 2 m s^-2 until it stops. What is the total distance travelled?

    • 320 m
    • 225 m
    • 385 m
    • 160 m

  18. A particle starts from rest with acceleration 3 m s^-2 for 4 s, then moves at constant velocity for 5 s. What is its total displacement?

    • 108 m
    • 84 m
    • 60 m
    • 24 m

  19. A particle has u = 8 m s^-1, a = -4 m s^-2, s = 6 m. What is v?

    • ±8 m s^-1
    • ±4 m s^-1
    • ±16 m s^-1
    • ±2 m s^-1

  20. Which variable is eliminated from s = 1/2(u + v)t to derive v^2 = u^2 + 2as?

    • Acceleration
    • Time
    • Displacement
    • Initial velocity

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