A-Level UK (AQA, Edexcel, OCR) · Mathematics

Kinematics and forces (mechanics)

20 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 20 questions

  1. A particle has initial speed m/s and constant acceleration m/s. How far does it travel in s?
  2. A car travelling at m/s brakes uniformly to rest in s. How far does it travel while braking?
  3. A stone is dropped from rest from a height of m. Taking m/s, what is its speed on reaching the ground?
  4. A ball is thrown vertically upwards at m/s and returns to its starting height. Taking m/s, what is its time of flight?
  5. A car of mass kg has a driving force of N and resistance of N. What is its acceleration?
  6. Particles of mass kg and kg hang on either side of a smooth light pulley and are released from rest. Taking m/s, find the tension in the string.
  7. A particle is released on a smooth plane inclined at to the horizontal. Taking m/s, what is its acceleration down the slope?
  8. A kg block rests on a rough horizontal surface with coefficient of friction . Taking m/s, what is the maximum friction force?
  9. A uniform plank m long and of mass kg rests on supports at its ends, A and B. A kg child stands m from A. Taking m/s, find the reaction at B.
  10. A kg particle moving at m/s collides with a stationary kg particle and they coalesce. What is their common speed?
  11. A constant force of N acts for s on a kg ball initially at rest. What is the ball's final speed?
  12. A particle moves in a straight line with displacement metres. What is its acceleration when it is next at instantaneous rest after ?
  13. A particle has position vector metres at time seconds. Find its speed when .
  14. A book rests on a table. What is the Newton's third law pair of the normal reaction of the table on the book?
  15. A force of N acts at above the horizontal. What is its horizontal component?
  16. A particle is in equilibrium under three forces. Two of them are N and N. What is the third force?
  17. A velocity-time graph shows a body accelerating from rest to m/s in s, moving at m/s for s, then slowing to rest in s. What total distance does it travel?
  18. A ball is projected horizontally at m/s from a cliff m high. Taking m/s, how far from the cliff foot does it land?
  19. A kg person stands in a lift accelerating upwards at m/s. Taking m/s, what is the reaction force from the floor?
  20. A particle on a rough slope inclined at is on the point of slipping down. What is the coefficient of friction?

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