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

AQA A-Level Maths past-paper questions on Q.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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426 questions

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  2. Q14

    June 2023 · Paper 2

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  3. Q11

    November 2021 · Paper 2

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  7. Q15

    June 2018 · Paper 2

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All 7 questions on Variable acceleration in a straight line, as a list
  1. June 2024, Paper 2, Q18 (7 marks): A particle is moving in a straight line through the origin O The displacement of the particle, r metres, from O, at time t seconds is given by r = p + 2t – qe –
  2. June 2023, Paper 2, Q14 (4 marks): A car has an initial velocity of 1 m s−1 The car is moving in a straight line. The acceleration a m s−2 of the car at time t seconds is given by a = 3kt2 − 2kt
  3. November 2021, Paper 2, Q11 (1 mark): A particle’s displacement, r metres, with respect to time, t seconds, is defined by the equation r = 3e0:5t Find an expression for the velocity, v m s−1, of the
  4. November 2021, Paper 2, Q17 (11 marks): A ball is released from a great height so that it falls vertically downwards towards the surface of the Earth. 17 (a) Using a simple model, Andy predicts that t
  5. November 2020, Paper 2, Q19 (8 marks): A particle moves so that its acceleration, a m s−2, at time t seconds may be modelled in terms of its velocity, v m s−1, as a = −0:1v2 The initial velocity of t
  6. June 2019, Paper 2, Q16 (16 marks): An elite athlete runs in a straight line to complete a 100-metre race. During the race, the athlete’s velocity, v m s−1, may be modelled by v = 11:71 − 11:68e−0
  7. June 2018, Paper 2, Q15 (9 marks): A driver is road-testing two minibuses, A and B, for a taxi company. The performance of each minibus along a straight track is compared. A flag is dropped to in

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