A-level · Kinematics

Constant acceleration (suvat)Exam-style questions

The five suvat equations, why they all fall out of the velocity–time graph (gradient = acceleration, area = displacement), and the one condition that makes them valid — constant acceleration.

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14 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4
  1. 1
    A particle accelerates uniformly from 5 m s−15\ \text{m s}^{-1} to 15 m s−115\ \text{m s}^{-1} with acceleration 2 m s−22\ \text{m s}^{-2}. Find the distance travelled.
    Level 3 · 2 marksTry it
  2. 2
    A particle has initial velocity 10 m s−110\ \text{m s}^{-1} and acceleration −2 m s−2-2\ \text{m s}^{-2}. Find its displacement after 33 s.
    Level 3 · 2 marksTry it
  3. 3
    A car accelerates uniformly from 4 m s−14\ \text{m s}^{-1} to 20 m s−120\ \text{m s}^{-1} in 88 s. Find its acceleration.
    Level 3 · 2 marksTry it
  4. 4
    A particle starts at 8 m s−18\ \text{m s}^{-1} and travels 100100 m in 1010 s under constant acceleration. Find the acceleration.
    Level 3 · 2 marksTry it
  5. 5
    A train travelling at 30 m s−130\ \text{m s}^{-1} brakes uniformly and stops in 600600 m. Find the deceleration.
    Level 3 · 2 marksTry it

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