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

Edexcel 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 18 questions on Collisions with walls and successive impacts, as a list

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, Further Mechanics 1, Q8 (12 marks): v ms−1 w ms−1 R S T (3i + 2j) ms−1 Figure 5 Figure 5 represents the plan view of part of a smooth horizontal floor, where RS and ST are smooth fixed vertical wa
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, 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 2024, Further Mechanics 1, Q6 (10 marks): [In this question, i and j are horizontal perpendicular unit vectors.] A particle P is moving with velocity (4i – j) m s –1 on a smooth horizontal plane. The pa
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, Further Mechanics 1, Q7 (14 marks): α β γ Q C P D A B W V U Figure 2 A small smooth snooker ball is projected from the corner A of a horizontal rectangular snooker table ABCD. The ball is projecte
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, 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, Further Mechanics 1, Q8 (10 marks): B R S T Figure 5 Figure 5 represents the plan view of part of a smooth horizontal floor, where RS and ST are smooth fixed vertical walls. The vector RS → is in
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, Q5 (10 marks): v m s−1 A B C θ Figure 1 Figure 1 represents the plan view of part of a horizontal floor, where AB and BC represent fixed vertical walls, with AB perpendicular
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, Further Mechanics 1, Q7 (11 marks): v m s–1 1 2 α α A C D B Figure 2 Figure 2 represents the plan view of part of a horizontal floor, where AB and CD represent fixed vertical walls, with AB parall
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
November 2020, AS Further Mechanics 1, Q4 (11 marks): A small ball, of mass m, is thrown vertically upwards with speed 8gH from a point O on a smooth horizontal floor. The ball moves towards a smooth horizontal cei
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

Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Edexcel A-Level Further Maths past papers.

The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.

789 questions