plumiCollisions: Edexcel A‑Level Further Maths questions
Every Edexcel A-Level Further Maths exam question on FM.4 Collisions, 2018–2025, with its mark scheme and examiner’s report.
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![June 2024 Further Mechanics 1, question 1: [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](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/9fm0-3c-jun24-01-qp.webp)
![June 2024 Further Mechanics 1, question 6: [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](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/9fm0-3c-jun24-06-qp.webp)
All 39 questions on Collisions, 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, Further Mechanics 1, Q7 (13 marks): 60° v ms −1 w ms −1 3 ms −1 5 ms −1 60° 0.4 kg 0.3 kg P Q 30° θ° Figure 4 Two uniform spheres P and Q have equal radii. The mass of P is 0.3 kg and the mass of
- 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, 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, Q3 (10 marks): A plane is inclined to the horizontal at an angle α, where tan α = 4 3 . A small block of mass m is held at a point A on the plane and released from rest. Initi
- 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 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 2024, Further Mechanics 1, Q7 (15 marks): U A (m) B (3m) α Figure 1 A smooth uniform sphere A of mass m is moving with speed U on a smooth horizontal plane. The sphere A collides obliquely with a smooth
- June 2024, AS Further Mechanics 1, Q1 (9 marks): A particle A has mass 2m and a particle B has mass 3m. The particles are moving in opposite directions along the same straight line and collide directly. Immedi
- June 2024, AS Further Mechanics 1, Q4 (11 marks): P (m) Q (4m) Figure 2 A particle P of mass m and a particle Q of mass 4m are at rest on a smooth horizontal plane, as shown in Figure 2. Particle P is projected
- 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, Q5 (10 marks): U S (m) (M) α ß Figure 1 A smooth uniform sphere S of mass m is moving with speed U on a smooth horizontal plane. The sphere S collides obliquely with another u
- June 2023, Further Mechanics 1, Q6 (12 marks): A particle P of mass m is falling vertically when it strikes a fixed smooth inclined plane. The plane is inclined to the horizontal at an angle α, where 0 < 45
- 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, 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, Q4 (9 marks): 30° 30° 60° B A 2u 4m 3m 3u Figure 3 Two smooth uniform spheres, A and B, have equal radii. The mass of A is 3m and the mass of B is 4m. The spheres are moving
- 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, 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 2021, Further Mechanics 1, Q3 (14 marks): [In this question, i and j are perpendicular unit vectors in a horizontal plane.] A smooth uniform sphere P has mass 0.3 kg. Another smooth uniform sphere Q, wi
- 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 2021, Further Mechanics 1, Q7 (9 marks): [In this question, i and j are perpendicular unit vectors in a horizontal plane.] (8i + 2j) m s−1 v m s−1 A B Figure 3 Figure 3 represents the plan view of part
- 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, Q4 (9 marks): [In this question, i and j are perpendicular unit vectors in a horizontal plane.] (i + 6j) m s–1 (7i + 2j) m s–1 A B Figure 1 Figure 1 represents the plan view
- November 2020, Further Mechanics 1, Q5 (14 marks): A smooth uniform sphere P has mass 0.3 kg. Another smooth uniform sphere Q, with the same radius as P, has mass 0.2 kg. The spheres are moving on a smooth horiz
- 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, 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
- 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, 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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