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Momentum and impulse: OCR MEI A‑Level Further Maths questions

Every OCR MEI A-Level Further Maths exam question on FM.1 Momentum and impulse, 2018–2025, with its mark scheme and examiner’s report.

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847 questions

  1. Q1

    June 2025 · Mechanics Minor

    The whole paper ↗
    June 2025 Mechanics Minor, question 1: Particles A and B move towards each other on a smooth horizontal surface. Particle A has speed - . s 1 s 1 - and particle B has speed m 3 m 8 s 1 After they col
  2. Q6

    June 2025 · Mechanics Minor

    The whole paper ↗
    June 2025 Mechanics Minor, question 6: In this question the unit vectors i and j are directed horizontally. Two skaters, Amos and Beth, move on a horizontal ice rink. The masses of Amos and Beth are
  3. Q4

    June 2025 · AS Mechanics A

    The whole paper ↗
    June 2025 AS Mechanics A, question 4: 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
  4. Q1

    June 2024 · Mechanics Major

    The whole paper ↗
    June 2024 Mechanics Major, question 1: A car A of mass 1200 kg is about to tow another car B of mass 800 kg in a straight line along a horizontal road by means of a tow-rope attached between A and B.
  5. Q2

    June 2023 · Mechanics Major

    The whole paper ↗
    June 2023 Mechanics Major, question 2: 6ms–1 2ms–1 0.5 kg 2kg A B Two small uniform smooth spheres A and B have masses 0.5 kg and 2 kg respectively. The two spheres are travelling in the same directi
  6. Q3

    June 2023 · Mechanics Minor

    The whole paper ↗
    June 2023 Mechanics Minor, question 3: 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
  7. Q3

    June 2022 · Mechanics Major

    The whole paper ↗
    June 2022 Mechanics Major, question 3: A particle, of mass 2 kg, is placed at a point A on a rough horizontal surface. There is a straight vertical wall on the surface and the point on the wall neare
  8. Q5

    June 2022 · Mechanics Minor

    The whole paper ↗
    June 2022 Mechanics Minor, question 5: Point A lies 20 m vertically below a point B. A particle P of mass 4m kg is projected upwards - . At the same time, a particle Q of mass m kg is released from r
  9. Q7

    June 2022 · AS Mechanics A

    The whole paper ↗
    June 2022 AS Mechanics A, question 7: The diagram shows a cannon fixed to a trolley. The trolley runs on a smooth horizontal track. Forward direction A driver boards the trolley with two cannon ball
  10. Q1

    November 2021 · Mechanics Major

    The whole paper ↗
    November 2021 Mechanics Major, question 1: A small ball of mass 0.25 kg is held above a horizontal floor. The ball is released from rest and hits s 1 s 1 the floor with a speed of 5 m - It rebounds from
  11. Q3

    November 2021 · AS Mechanics A

    The whole paper ↗
    November 2021 AS Mechanics A, question 3: 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
  12. Q6

    November 2020 · Mechanics Major

    The whole paper ↗
    November 2020 Mechanics Major, question 6: 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.
  13. Q3

    November 2020 · Mechanics Minor

    The whole paper ↗
    November 2020 Mechanics Minor, question 3: In this question i and j are perpendicular unit vectors and c is a positive real number. The resultant of two forces ci N and i 2 c j N is denoted by R N. - + (
  14. Q6

    November 2020 · Mechanics Minor

    The whole paper ↗
    November 2020 Mechanics Minor, question 6: 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
  15. Q5

    November 2020 · AS Mechanics A

    The whole paper ↗
    November 2020 AS Mechanics A, question 5: Throughout this question it may be assumed that there are no resistances to motion. Model trucks A and B, with masses 5 kg and 3 kg respectively, rest on a set
  16. Q3

    June 2019 · Mechanics Major

    The whole paper ↗
    June 2019 Mechanics Major, question 3: 3 A ball of mass 2 kg is moving with velocity ( 3 i 2 j )ms - when it is struck by a bat. The impulse - on the ball is ( 8 i 10 j )Ns . - + (a) Find the speed o
  17. Q4

    June 2019 · Mechanics Minor

    The whole paper ↗
    June 2019 Mechanics Minor, question 4: Two model railway trucks, A of mass 0.1 kg and B of mass 0.2 kg, are constrained to move on a smooth straight level track. 1 Initially B is stationary and A is
All 17 questions on Momentum and impulse, as a list
  1. June 2025, Mechanics Minor, Q1 (6 marks): Particles A and B move towards each other on a smooth horizontal surface. Particle A has speed - . s 1 s 1 - and particle B has speed m 3 m 8 s 1 After they col
  2. June 2025, Mechanics Minor, Q6 (12 marks): In this question the unit vectors i and j are directed horizontally. Two skaters, Amos and Beth, move on a horizontal ice rink. The masses of Amos and Beth are
  3. 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
  4. June 2024, Mechanics Major, Q1 (4 marks): A car A of mass 1200 kg is about to tow another car B of mass 800 kg in a straight line along a horizontal road by means of a tow-rope attached between A and B.
  5. June 2023, Mechanics Major, Q2 (4 marks): 6ms–1 2ms–1 0.5 kg 2kg A B Two small uniform smooth spheres A and B have masses 0.5 kg and 2 kg respectively. The two spheres are travelling in the same directi
  6. 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
  7. June 2022, Mechanics Major, Q3 (6 marks): A particle, of mass 2 kg, is placed at a point A on a rough horizontal surface. There is a straight vertical wall on the surface and the point on the wall neare
  8. June 2022, Mechanics Minor, Q5 (17 marks): Point A lies 20 m vertically below a point B. A particle P of mass 4m kg is projected upwards - . At the same time, a particle Q of mass m kg is released from r
  9. June 2022, AS Mechanics A, Q7 (10 marks): The diagram shows a cannon fixed to a trolley. The trolley runs on a smooth horizontal track. Forward direction A driver boards the trolley with two cannon ball
  10. November 2021, Mechanics Major, Q1 (3 marks): A small ball of mass 0.25 kg is held above a horizontal floor. The ball is released from rest and hits s 1 s 1 the floor with a speed of 5 m - It rebounds from
  11. 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
  12. 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.
  13. November 2020, Mechanics Minor, Q3 (9 marks): In this question i and j are perpendicular unit vectors and c is a positive real number. The resultant of two forces ci N and i 2 c j N is denoted by R N. - + (
  14. 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
  15. November 2020, AS Mechanics A, Q5 (11 marks): Throughout this question it may be assumed that there are no resistances to motion. Model trucks A and B, with masses 5 kg and 3 kg respectively, rest on a set
  16. June 2019, Mechanics Major, Q3 (5 marks): 3 A ball of mass 2 kg is moving with velocity ( 3 i 2 j )ms - when it is struck by a bat. The impulse - on the ball is ( 8 i 10 j )Ns . - + (a) Find the speed o
  17. June 2019, Mechanics Minor, Q4 (13 marks): Two model railway trucks, A of mass 0.1 kg and B of mass 0.2 kg, are constrained to move on a smooth straight level track. 1 Initially B is stationary and A is

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