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Variable acceleration in a straight line: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 7.3 Variable acceleration in a straight line, 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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  2. Q7

    June 2024 · AS Paper 1

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  3. Q1

    June 2023 · AS Paper 1

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  4. Q3

    June 2022 · AS Paper 1

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  6. Q6

    November 2021 · AS Paper 1

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  7. Q9

    November 2020 · Paper 1

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  8. Q6

    November 2020 · AS Paper 1

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  9. Q7

    June 2019 · Paper 1

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All 11 questions on Variable acceleration in a straight line, as a list
  1. June 2025, AS Paper 1, Q13 (9 marks): Particles A and B are moving along the same straight line. The graph below is the velocity–time – at time t s. Particle A travels with constant acceleration. 1
  2. June 2024, AS Paper 1, Q7 (6 marks): 7 The velocity of a particle moving in a straight line is modelled by v 0 6 . t 2 1 . t 1 5 . where v is = - + the velocity in metres per second and t is the ti
  3. June 2023, AS Paper 1, Q1 (2 marks): s 1 0 6 2 1 A particle moves along a straight line. Its velocity m v - at time t s is given by v 2 t . t . = + Find an expression for the acceleration of the pa
  4. June 2022, AS Paper 1, Q3 (3 marks): - at time s 1 3 The velocity-time graph for the motion of a particle is shown below. The velocity ms v t 2 is given by v t t6 - where 6 0 t 5 . =- + G G v(ms–1)
  5. June 2022, AS Paper 1, Q11 (9 marks): 11 A sports car accelerates along a straight road from rest. After 5 s its velocity is 9 ms - . In model A, the acceleration is assumed to be constant. (a) Calc
  6. November 2021, AS Paper 1, Q6 (8 marks): 6 The displacement of a particle is modelled by the equation s 7 4 t t , where s metres is the = + - displacement from the origin at time t seconds. The diagram
  7. November 2020, Paper 1, Q9 (6 marks): A particle is moving in a straight line. The acceleration a m s 2 9 - of the particle at time t s is given by . The initial velocity of the particle is 3 m s 1
  8. November 2020, AS Paper 1, Q6 (5 marks): In this question you must show detailed reasoning. A particle moves in a straight line. Its velocity vms 1 3 2 - after t s is given by v t t5 . = - (a) Find the
  9. June 2019, Paper 1, Q7 (4 marks): The velocity v ms 1 7 - of a particle at time t s is given by v 0 5 7 . t ( t ) . = - Determine whether the speed of the particle is increasing or decreasing wh
  10. June 2019, AS Paper 1, Q9 (9 marks): In this question you must show detailed reasoning. A car accelerates from rest along a straight level road. The velocity of the car after 8 s is 25.6 m s−1. In
  11. June 2018, Paper 1, Q14 (17 marks): The velocity of a car, v m s–1 at time t seconds, is being modelled. Initially the car has velocity 5 m s–1 and it 14 accelerates to 11.4 m s–1 in 4 seconds. In

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