plumiCollisions: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on M2.4 Collisions, 2019–2025, with its mark scheme and examiner’s report.
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All 35 questions on Collisions, as a list
- June 2025, Mechanics 2 (M2), Q2 (7 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. [In this question, i and j are horizon
- June 2025, Mechanics 2 (M2), Q5 (15 marks): A particle P of mass 2m and a particle Q of mass m are at rest on a smooth horizontal plane. Particle P is projected with speed u along the plane towards Q and
- June 2025 (A), Mechanics 2 (M2), Q5 (8 marks): A particle P of mass 0.5 kg is moving with velocity 6 i m s –1 in the xy plane. The particle receives an impulse (ai + bj) N s, where a and b are constants. As
- June 2025 (A), Mechanics 2 (M2), Q7 (17 marks): P Q R Figure 3 Three particles, P, Q and R, lie at rest on a smooth horizontal surface. The particles are in a straight line with Q between P and R, as shown in
- January 2025, Mechanics 2 (M2), Q5 (8 marks): [In this question, i and j are horizontal perpendicular unit vectors.] A particle Q of mass 2 kg is moving on a smooth horizontal surface. Particle Q is moving
- January 2025, Mechanics 2 (M2), Q8 (11 marks): A particle P has mass m and a particle Q has mass km, where k is a constant. The particles are moving in opposite directions along the same straight line on a s
- October 2024, Mechanics 2 (M2), Q2 (7 marks): A particle Q of mass 3 kg is moving on a smooth horizontal surface. Particle Q is moving with velocity 5 1 i ms− when it receives a horizontal impulse of magnit
- October 2024, Mechanics 2 (M2), Q7 (15 marks): A particle P has mass 5m and a particle Q has mass 2m. The particles are moving in opposite directions along the same straight line on a smooth horizontal surfa
- June 2024, Mechanics 2 (M2), Q1 (8 marks): [In this question, i and j are horizontal perpendicular unit vectors.] A particle A has mass 2 kg and a particle B has mass 3 kg. The particles are moving on a
- June 2024, Mechanics 2 (M2), Q5 (11 marks): A particle P of mass m and a particle Q of mass 2m are at rest on a smooth horizontal plane. Particle P is projected with speed u along the plane towards Q and
- January 2024, Mechanics 2 (M2), Q2 (6 marks): [In this question, i and j are horizontal perpendicular unit vectors.] A particle Q of mass 0.5 kg is moving on a smooth horizontal surface. Particle Q is movin
- January 2024, Mechanics 2 (M2), Q7 (14 marks): Particle P has mass m and particle Q has mass 5m. The particles are moving in the same direction along the same straight line on a smooth horizontal surface. Pa
- October 2023, Mechanics 2 (M2), Q3 (6 marks): Q α° 60° 8 m s –1 12 m s –1 I N s Figure 2 A particle Q of mass 0.25 kg is moving in a straight line on a smooth horizontal surface with speed 8 m s –1 when it
- October 2023, Mechanics 2 (M2), Q7 (14 marks): Particle P has mass 4m and particle Q has mass 2m. The particles are moving in opposite directions along the same straight line on a smooth horizontal surface.
- June 2023, Mechanics 2 (M2), Q1 (7 marks): A particle P of mass 0.3 kg is moving with velocity 5 ms i −1 The particle receives an impulse I Ns. Immediately after receiving the impulse, the velocity of P
- June 2023, Mechanics 2 (M2), Q4 (12 marks): A particle P of mass 3m and a particle Q of mass 5m are moving towards each other along the same straight line on a smooth horizontal surface. The particles col
- January 2023, Mechanics 2 (M2), Q2 (7 marks): A particle P of mass 0.5 kg is moving with velocity (5i + 3j) m s–1 The particle receives an impulse (–2i + λj) N s , where λ is a constant. Immediately after r
- January 2023, Mechanics 2 (M2), Q7 (10 marks): Particle P has mass 3m and particle Q has mass km. The particles are moving towards each other on the same straight line on a smooth horizontal surface. The par
- October 2022, Mechanics 2 (M2), Q3 (6 marks): A particle P of mass 0.2 kg is moving with velocity (4i – 3j) m s –1 The particle receives an impulse λ(i + j) N s, where λ is a constant. Immediately after rec
- October 2022, Mechanics 2 (M2), Q7 (13 marks): Particle A has mass m and particle B has mass 2m. The particles are moving in the same direction along the same straight line on a smooth horizontal surface. Pa
- June 2022, Mechanics 2 (M2), Q2 (6 marks): X A Z u d 3d W Y Figure 1 The point A lies on a smooth horizontal floor between two fixed smooth parallel vertical walls WX and YZ, as shown in the plan view in
- June 2022, Mechanics 2 (M2), Q3 (6 marks): A particle P of mass 0.5 kg is moving with velocity λ(i + j) m s –1 when P receives an impulse of magnitude 5 2 N s Immediately after P receives the impulse, th
- June 2022, Mechanics 2 (M2), Q6 (12 marks): Two particles, P and Q, are moving in opposite directions along the same straight line on a smooth horizontal surface so that the particles collide directly. Th
- January 2022, Mechanics 2 (M2), Q1 (8 marks): A particle of mass 0.5 kg is moving with velocity (2i + 4j) m s−1 when it receives an impulse of (−4i + 6j) N s. (a) Find the speed of the particle immediately
- January 2022, Mechanics 2 (M2), Q4 (10 marks): Two small balls, A and B, are moving in opposite directions along the same straight line on smooth horizontal ground. The mass of A is 2m and the mass of B is 3
- October 2021, Mechanics 2 (M2), Q4 (6 marks): A particle P of mass 0.75 kg is moving with velocity 4i m s–1 when it receives an impulse J Ns. Immediately after P receives the impulse, the speed of P is 8 m
- October 2021, Mechanics 2 (M2), Q6 (10 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. The mass of A
- June 2021, Mechanics 2 (M2), Q4 (6 marks): 8 m s–1 60° J N s 5 m s–1 P Figure 2 A particle P of mass 0.3 kg is moving with speed 5 m s–1 along a straight line on a smooth horizontal plane. The particle r
- June 2021, Mechanics 2 (M2), Q8 (13 marks): Particles A, B and C, of masses 2m, m and 3m respectively, lie at rest in a straight line on a smooth horizontal plane with B between A and C. Particle A is pro
- January 2021, Mechanics 2 (M2), Q1 (7 marks): A particle P of mass 1.5 kg is moving with velocity (4i + 6j) m s–1 when it receives an impulse of magnitude 15 Ns. Immediately after P receives the impulse, th
- January 2021, Mechanics 2 (M2), Q8 (12 marks): Two particles, A and B, have masses 3m and 4m respectively. The particles are moving towards each other along the same straight line on a smooth horizontal surf
- October 2020, Mechanics 2 (M2), Q1 (5 marks): A particle of mass 2 kg is moving with velocity (5i + 3j) m s–1 when it receives an impulse I N s, such that I = ai + bj Immediately after receiving the impulse
- October 2020, Mechanics 2 (M2), Q7 (10 marks): Particle A of mass 3m is moving in a straight line with speed 2u on a smooth horizontal surface. Particle A collides directly with particle B of mass m, which i
- January 2020, Mechanics 2 (M2), Q3 (7 marks): 6 m s–1 24 Ns P 60q Figure 2 A particle P of mass 0.75 kg is moving along a straight line on a horizontal surface. At the instant when the speed of P is 6 m s–1
- January 2020, Mechanics 2 (M2), Q8 (12 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 plane. They are moving in op
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