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

Edexcel 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.

All 20 questions on Direct collisions and restitution, as a list

June 2025, Further Mechanics 1, Q1 (6 marks): A particle A has mass 4m and a particle B has mass 3m. The particles are moving along the same straight line on a smooth horizontal table. The particles are mov
June 2025, Further Mechanics 1, Q5 (13 marks): A 2 m B 3 m C 4 m Figure 2 Three small balls, A, B and C, have masses 2m, 3m and 4m respectively. The balls are initially at rest in a straight line on a smooth
June 2025, AS Further Mechanics 1, Q2 (10 marks): A particle Q of mass 3m is at rest on a smooth horizontal plane. A particle P of mass m is moving along the plane when it collides directly with Q. The speed of
June 2025, AS Further Mechanics 1, Q4 (12 marks): m A 4u Figure 1 A particle A of mass m is moving on a smooth horizontal plane when it collides directly with a fixed vertical wall which is perpendicular to the
June 2024, Further Mechanics 1, Q1 (9 marks): [In this question, i and j are horizontal perpendicular unit vectors.] A particle A has mass 3 kg and a particle B has mass 2 kg. The particles are moving on a
June 2024, Further Mechanics 1, Q4 (15 marks): A particle A of mass 2m is moving in a straight line with speed 3u on a smooth horizontal plane. Particle A collides directly with a particle B of mass m which
June 2023, Further Mechanics 1, Q3 (10 marks): A particle P of mass 2m is moving in a straight line with speed 3u on a smooth horizontal plane. It collides directly with a particle Q of mass m that is moving
June 2023, AS Further Mechanics 1, Q1 (8 marks): Two particles, P and Q, of masses 3m and 2m respectively, are moving on a smooth horizontal plane. They are moving in opposite directions along the same straigh
June 2023, AS Further Mechanics 1, Q4 (14 marks): P Q R Figure 1 Three particles, P, Q and R, lie at rest on a smooth horizontal plane. The particles are in a straight line with Q between P and R, as shown in F
June 2022, Further Mechanics 1, Q1 (8 marks): A particle A of mass 3m and a particle B of mass m are moving along the same straight line on a smooth horizontal surface. The particles are moving in opposite
June 2022, Further Mechanics 1, Q5 (10 marks): Two particles, P and Q, are moving in opposite directions along the same straight line on a smooth horizontal surface when they collide directly. The mass of P
June 2022, AS Further Mechanics 1, Q2 (8 marks): Two particles, A and B, have masses m and 3m respectively. The particles are moving in opposite directions along the same straight line on a smooth horizontal p
June 2022, AS Further Mechanics 1, Q4 (15 marks): A particle P of mass 2m kg is moving with speed 2u m s–1 on a smooth horizontal plane. Particle P collides with a particle Q of mass 3m kg which is at rest on t
November 2021, Further Mechanics 1, Q2 (14 marks): Two particles, A and B, are moving in opposite directions along the same straight line on a smooth horizontal surface when they collide directly. Particle A has
November 2020, Further Mechanics 1, Q3 (14 marks): Two particles, A and B, have masses 3m and 4m respectively. The particles are moving in the same direction along the same straight line on a smooth horizontal s
November 2020, AS Further Mechanics 1, Q1 (5 marks): Two particles P and Q have masses m and 4m respectively. The particles are at rest on a smooth horizontal plane. Particle P is given a horizontal impulse, of ma
November 2020, AS Further Mechanics 1, Q3 (12 marks): Three particles A, B and C are at rest on a smooth horizontal plane. The particles lie along a straight line with B between A and C. Particle B has mass 4m and
June 2019, AS Further Mechanics 1, Q2 (13 marks): Two particles, A and B, of masses 2m and 3m respectively, are moving on a smooth horizontal plane. The particles are moving in opposite directions towards each
June 2019, AS Further Mechanics 1, Q4 (10 marks): Three particles, P, Q and R, are at rest on a smooth horizontal plane. The particles lie along a straight line with Q between P and R. The particles Q and R hav
June 2018, AS Further Mechanics 1, Q4 (14 marks): A particle P of mass 3m is moving in a straight line on a smooth horizontal floor. A particle Q of mass 5m is moving in the opposite direction to P along the sa

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