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Variable force and acceleration: Edexcel A‑Level Further Maths questions

Edexcel A-Level Further Maths past-paper questions on 7.1 Variable force and acceleration, 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.

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789 questions

  1. Q5

    June 2025 · Further Mechanics 2

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  2. Q2

    June 2025 · AS Further Mechanics 2

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  3. Q1

    June 2024 · Further Mechanics 2

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  4. Q2

    June 2023 · Further Mechanics 2

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  5. Q2

    June 2023 · AS Further Mechanics 2

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  6. Q2

    June 2022 · Further Mechanics 2

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  7. Q4

    June 2022 · AS Further Mechanics 2

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  8. Q2

    November 2021 · Further Mechanics 2

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  9. Q3

    November 2020 · Further Mechanics 2

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  10. Q3

    November 2020 · AS Further Mechanics 2

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  11. Q2

    June 2019 · Further Mechanics 2

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  12. Q2

    June 2019 · AS Further Mechanics 2

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  13. Q4

    June 2018 · AS Further Mechanics 2

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All 13 questions on Variable force and acceleration, 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, 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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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