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Further dynamics and kinematics: Edexcel A‑Level Further Maths questions

Every Edexcel A-Level Further Maths exam question on FM.7 Further dynamics and kinematics, 2018–2025, with its mark scheme and examiner’s report.

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824 questions

  1. Q5

    June 2025 · Further Mechanics 2

    The whole paper ↗
    June 2025 Further Mechanics 2, question 5: A car of mass 1000 kg is moving along a straight horizontal road. The engine of the car produces a constant driving force of 800 N. At time t seconds, t  0 , t
  2. Q7

    June 2025 · Further Mechanics 2

    The whole paper ↗
    June 2025 Further Mechanics 2, question 7: A particle P of mass 0.4 kg is moving in a straight line with simple harmonic motion. The maximum speed of P is 5 m s –1 and the maximum magnitude of accelerati
  3. Q2

    June 2025 · AS Further Mechanics 2

    The whole paper ↗
    June 2025 AS Further Mechanics 2, question 2: A particle P moves on the x-axis. At time t seconds the velocity of P is v m s–1 in the positive x-direction, where v t 3 2 1 t 0 (a) Find the value of t when P
  4. Q1

    June 2024 · Further Mechanics 2

    The whole paper ↗
    June 2024 Further Mechanics 2, question 1: In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A particle P moves along a st
  5. Q5

    June 2024 · Further Mechanics 2

    The whole paper ↗
    June 2024 Further Mechanics 2, question 5: A particle P moves in a straight line with simple harmonic motion about a fixed point O. The magnitude of the greatest acceleration of P is 18 m s –2 When P is
  6. Q3

    June 2024 · AS Further Mechanics 2

    No published mark scheme
    The whole paper ↗
    June 2024 AS Further Mechanics 2, question 3: A particle P is moving along the x‑axis. At time t seconds, P has velocity v m s –1 in the positive x direction and acceleration a m s –2 in the positive x dire
  7. Q2

    June 2023 · Further Mechanics 2

    The whole paper ↗
    June 2023 Further Mechanics 2, question 2: A particle of mass 2 kg is moving in a straight line on a smooth horizontal surface under the action of a horizontal force of magnitude F newtons. At time t sec
  8. Q8

    June 2023 · Further Mechanics 2

    The whole paper ↗
    June 2023 Further Mechanics 2, question 8: 6 m A P E B Figure 7 The fixed points A and B lie on a smooth horizontal surface with AB = 6m. A particle P has mass 0 3. . kg One end of a light elastic string
  9. Q2

    June 2023 · AS Further Mechanics 2

    The whole paper ↗
    June 2023 AS Further Mechanics 2, question 2: A particle P is moving along the x-axis. At time t seconds, t  0, P has acceleration a m s–2 and velocity v m s–1 in the direction of x increasing, where v = e
  10. Q2

    June 2022 · Further Mechanics 2

    The whole paper ↗
    June 2022 Further Mechanics 2, question 2: A cyclist and her cycle have a combined mass of 60 kg. The cyclist is moving along a straight horizontal road and is working at a constant rate of 200 W. When s
  11. Q8

    June 2022 · Further Mechanics 2

    The whole paper ↗
    June 2022 Further Mechanics 2, question 8: Throughout this question, use g = 10 m s–2 A light elastic string has natural length 1.25 m and modulus of elasticity 25 N. A particle P of mass 0.5 kg is attac
  12. Q4

    June 2022 · AS Further Mechanics 2

    The whole paper ↗
    June 2022 AS Further Mechanics 2, question 4: A particle P moves on the x-axis. At time t seconds the velocity of P is v m s–1 in the direction of x increasing, where v = 1 2 3 1 2e t − ( ) t  0 The accele
  13. Q2

    November 2021 · Further Mechanics 2

    The whole paper ↗
    November 2021 Further Mechanics 2, question 2: At time t = 0, a small stone P of mass m is released from rest and falls vertically through the air. At time t, the speed of P is v and the resistance to the mo
  14. Q6

    November 2021 · Further Mechanics 2

    The whole paper ↗
    November 2021 Further Mechanics 2, question 6: A light elastic string, of natural length l and modulus of elasticity 2mg, has one end attached to a fixed point A and the other end attached to a particle P of
  15. Q3

    November 2020 · Further Mechanics 2

    The whole paper ↗
    November 2020 Further Mechanics 2, question 3: A particle P of mass 0.5 kg is moving along the positive x-axis in the direction of x increasing. At time t seconds (t  0) , P is x metres from the origin O an
  16. Q7

    November 2020 · Further Mechanics 2

    The whole paper ↗
    November 2020 Further Mechanics 2, question 7: A light elastic spring has natural length l and modulus of elasticity 4mg . A particle P of mass m is attached to one end of the spring. The other end of the sp
  17. Q3

    November 2020 · AS Further Mechanics 2

    The whole paper ↗
    November 2020 AS Further Mechanics 2, question 3: At time t = 0, a toy electric car is at rest at a fixed point O. The car then moves in a horizontal straight line so that at time t seconds (t > 0) after leavin
  18. Q2

    June 2019 · Further Mechanics 2

    The whole paper ↗
    June 2019 Further Mechanics 2, question 2: A particle, P, of mass 0.4 kg is moving along the positive x-axis, in the positive x direction under the action of a single force. At time t seconds, t 0, P is
  19. Q6

    June 2019 · Further Mechanics 2

    The whole paper ↗
    June 2019 Further Mechanics 2, question 6: The points A and B lie on a smooth horizontal surface with AB = 4.5 m. A light elastic string has natural length 1.5 m and modulus of elasticity 15 N. One end o
  20. Q2

    June 2019 · AS Further Mechanics 2

    The whole paper ↗
    June 2019 AS Further Mechanics 2, question 2: A car moves in a straight line along a horizontal road. The car is modelled as a particle. At time t seconds, where t .0, the speed of the car is v ms1 At the
All 21 questions on Further dynamics and kinematics, as a list
  1. June 2025, Further Mechanics 2, Q5 (10 marks): A car of mass 1000 kg is moving along a straight horizontal road. The engine of the car produces a constant driving force of 800 N. At time t seconds, t  0 , t
  2. June 2025, Further Mechanics 2, Q7 (11 marks): A particle P of mass 0.4 kg is moving in a straight line with simple harmonic motion. The maximum speed of P is 5 m s –1 and the maximum magnitude of accelerati
  3. June 2025, AS Further Mechanics 2, Q2 (11 marks): A particle P moves on the x-axis. At time t seconds the velocity of P is v m s–1 in the positive x-direction, where v t 3 2 1 t 0 (a) Find the value of t when P
  4. June 2024, Further Mechanics 2, Q1 (9 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A particle P moves along a st
  5. June 2024, Further Mechanics 2, Q5 (11 marks): A particle P moves in a straight line with simple harmonic motion about a fixed point O. The magnitude of the greatest acceleration of P is 18 m s –2 When P is
  6. June 2024, AS Further Mechanics 2, Q3 (11 marks): A particle P is moving along the x‑axis. At time t seconds, P has velocity v m s –1 in the positive x direction and acceleration a m s –2 in the positive x dire
  7. June 2023, Further Mechanics 2, Q2 (8 marks): A particle of mass 2 kg is moving in a straight line on a smooth horizontal surface under the action of a horizontal force of magnitude F newtons. At time t sec
  8. June 2023, Further Mechanics 2, Q8 (14 marks): 6 m A P E B Figure 7 The fixed points A and B lie on a smooth horizontal surface with AB = 6m. A particle P has mass 0 3. . kg One end of a light elastic string
  9. June 2023, AS Further Mechanics 2, Q2 (8 marks): A particle P is moving along the x-axis. At time t seconds, t  0, P has acceleration a m s–2 and velocity v m s–1 in the direction of x increasing, where v = e
  10. June 2022, Further Mechanics 2, Q2 (7 marks): A cyclist and her cycle have a combined mass of 60 kg. The cyclist is moving along a straight horizontal road and is working at a constant rate of 200 W. When s
  11. June 2022, Further Mechanics 2, Q8 (14 marks): Throughout this question, use g = 10 m s–2 A light elastic string has natural length 1.25 m and modulus of elasticity 25 N. A particle P of mass 0.5 kg is attac
  12. June 2022, AS Further Mechanics 2, Q4 (10 marks): A particle P moves on the x-axis. At time t seconds the velocity of P is v m s–1 in the direction of x increasing, where v = 1 2 3 1 2e t − ( ) t  0 The accele
  13. November 2021, Further Mechanics 2, Q2 (10 marks): At time t = 0, a small stone P of mass m is released from rest and falls vertically through the air. At time t, the speed of P is v and the resistance to the mo
  14. November 2021, Further Mechanics 2, Q6 (16 marks): A light elastic string, of natural length l and modulus of elasticity 2mg, has one end attached to a fixed point A and the other end attached to a particle P of
  15. November 2020, Further Mechanics 2, Q3 (10 marks): A particle P of mass 0.5 kg is moving along the positive x-axis in the direction of x increasing. At time t seconds (t  0) , P is x metres from the origin O an
  16. November 2020, Further Mechanics 2, Q7 (15 marks): A light elastic spring has natural length l and modulus of elasticity 4mg . A particle P of mass m is attached to one end of the spring. The other end of the sp
  17. November 2020, AS Further Mechanics 2, Q3 (12 marks): At time t = 0, a toy electric car is at rest at a fixed point O. The car then moves in a horizontal straight line so that at time t seconds (t > 0) after leavin
  18. June 2019, Further Mechanics 2, Q2 (10 marks): A particle, P, of mass 0.4 kg is moving along the positive x-axis, in the positive x direction under the action of a single force. At time t seconds, t 0, P is
  19. June 2019, Further Mechanics 2, Q6 (13 marks): The points A and B lie on a smooth horizontal surface with AB = 4.5 m. A light elastic string has natural length 1.5 m and modulus of elasticity 15 N. One end o
  20. June 2019, AS Further Mechanics 2, Q2 (12 marks): A car moves in a straight line along a horizontal road. The car is modelled as a particle. At time t seconds, where t .0, the speed of the car is v ms1 At the
  21. June 2018, AS Further Mechanics 2, Q4 (13 marks): A particle, P, moves on the x-axis. At time t seconds, t  0, the velocity of P is v m s−1 in the direction of x increasing and the acceleration of P is a m s−2

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