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Direct collisions and restitution: OCR A‑Level Further Maths questions

OCR A-Level Further Maths past-paper questions on 4.1 Direct collisions and restitution, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

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  2. Q4

    June 2025 · AS Mechanics

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  4. Q5

    June 2024 · AS Mechanics

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  6. Q1

    June 2022 · AS Mechanics

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  8. Q3

    November 2021 · AS Mechanics

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  9. Q4

    November 2020 · AS Mechanics

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All 12 questions on Direct collisions and restitution, as a list
  1. June 2025, Mechanics, Q4 (6 marks): Two particles, P of mass 2 kg and Q of mass 0.5 kg, are moving on a smooth horizontal surface. s 1 Particle P is moving with speed . m 1 5 - directly towards a
  2. June 2025, AS Mechanics, Q4 (7 marks): Two particles, A of mass 4 kg and B of mass 2 kg, are free to move along the same straight line on a smooth horizontal surface. They are projected directly towa
  3. June 2024, Mechanics, Q6 (12 marks): Two identical spheres, A and B, each of mass m kg, are moving directly towards each other along the same straight line on a smooth horizontal surface until they
  4. June 2024, AS Mechanics, Q5 (14 marks): Two particles, A of mass mA kg and B of mass 5 kg, are moving directly towards each other on a 1 1 smooth horizontal floor. Before they collide they have speeds
  5. June 2023, AS Mechanics, Q5 (14 marks): Two identical spheres, A and B, each of mass 4 kg, are moving directly towards each other along the same straight line on a smooth horizontal surface until they
  6. June 2022, AS Mechanics, Q1 (8 marks): Two stones, A and B, are sliding along the same straight line on a horizontal sheet of ice. 1 Stone A, of mass 50 kg, is moving with a constant velocity of . ms
  7. June 2022, AS Mechanics, Q7 (12 marks): Two particles, P and Q, are on a smooth horizontal floor. P, of mass 1 kg, is moving with speed 1 1 79 . ms - directly towards a vertical wall. Q, of mass 2.74
  8. November 2021, AS Mechanics, Q3 (13 marks): - on a smooth horizontal surface 1 3 A particle A of mass 0.5 kg is moving with a speed of . 3 15 ms when it collides directly with a particle B of mass 0.8 kg
  9. November 2020, AS Mechanics, Q4 (12 marks): A particle P of mass 2.4 kg is moving in a straight line OA on a horizontal plane. P is acted on by a force of magnitude 30 N in the direction of motion. The di
  10. November 2020, AS Mechanics, Q6 (12 marks): Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 3.3 kg, 2.2 kg and 1 kg respectivel
  11. June 2019, AS Mechanics, Q6 (11 marks): Particles A of mass 2m and B of mass m are on a smooth horizontal floor. A is moving with speed u directly towards a vertical wall, and B is at rest between A a
  12. June 2018, AS Mechanics, Q4 (11 marks): 4.0ms–1 1.2kg 1.8kg mkg A B C Three particles A, B and C are free to move in the same straight line on a large smooth horizontal surface. Their masses are 1.2 k

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