Collisions with walls and successive impacts: OCR MEI A‑Level Further Maths questions

OCR MEI A-Level Further Maths past-paper questions on 4.2 Collisions with walls and successive impacts, 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.

All 16 questions on Collisions with walls and successive impacts, as a list

June 2025, Mechanics Major, Q7 (12 marks): Two uniform smooth spheres, A and B, have the same radius. The mass of A is 4 kg, and the mass of B is 6 kg. The spheres are travelling in the same direction in
June 2025, AS Mechanics A, Q4 (9 marks): Two small trucks, A and B, are at rest on a smooth horizontal track. The mass of A is 2 kg, and the mass of B is 3 kg. At one end of the track there is a fixed
June 2025, AS Mechanics A, Q6 (11 marks): Throughout this question you should assume that there is no air resistance. - . A particle is projected vertically upwards with speed u m s 1 (a) Show that the
June 2024, AS Mechanics A, Q4 (13 marks): Three spheres A, B, and C, of equal radius are in the same straight line on a smooth horizontal surface. The masses of A, B and C are 2 kg, 4 kg and 1 kg respec
June 2023, Mechanics Minor, Q3 (11 marks): The diagram shows two blocks P and Q of masses 0.5 kg and 2 kg respectively, on a horizontal surface. The points A, B and C lie on the surface in a straight lin
June 2023, AS Mechanics A, Q2 (10 marks): A ball P of mass m kg is held at a height of 12.8 m above a horizontal floor. P is released from rest and rebounds from the floor. After the first bounce, P rea
June 2022, AS Mechanics A, Q5 (6 marks): Fig. 5.1 shows a small smooth sphere A at rest on a smooth horizontal surface. At both ends of the surface is a smooth vertical wall. A Fig. 5.1 - . Sphere A co
November 2021, Mechanics Major, Q10 (13 marks): O C i a P A B b A rigid wire ABC is fixed in a vertical plane. The section AB of the wire, of length b, is straight and horizontal. The section BC of the wire i
November 2021, Mechanics Major, Q11 (16 marks): Two small uniform smooth spheres A and B, of equal radius, have masses 4 kg and 3 kg respectively. The spheres are placed in a smooth horizontal circular groove
November 2021, Mechanics Minor, Q6 (13 marks): A block rests on a horizontal surface. The coefficient of friction between the block and the surface is n. 2 v - , it will move a distance of (a) Show that if t
November 2021, AS Mechanics A, Q3 (12 marks): Three small uniform spheres A, B and C have masses 2 kg, 3 kg and 5 kg respectively. The spheres move in the same straight line on a smooth horizontal table, wi
November 2020, Mechanics Major, Q6 (10 marks): A small ball of mass m kg is held at a height of 78.4 m above horizontal ground. The ball is released from rest, falls vertically and rebounds from the ground.
November 2020, Mechanics Minor, Q6 (17 marks): Stones A and B have masses m kg and 3m kg respectively. They lie at rest on a large area of smooth horizontal ice and may move freely over the ice. Stone A is g
June 2019, Mechanics Major, Q11 (14 marks): Two uniform smooth spheres A and B have equal radii and are moving on a smooth horizontal surface. The mass of A is 0.2 kg and the mass of B is 0.6 kg. The sphe
June 2019, AS Mechanics A, Q6 (11 marks): Three particles, A, B and C are in a straight line on a smooth horizontal surface. The particles have masses 5 kg, 3 kg and 1 kg respectively. Particles B and C
June 2018, AS Mechanics A, Q5 (13 marks): A small ball is held at a height of 160 cm above a horizontal surface. The ball is released from rest and rebounds from the surface. After its first bounce on t

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