plumiVariable acceleration in a straight line: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 3.02.3 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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All 14 questions on Variable acceleration in a straight line, as a list
- June 2025, Paper 3, Q9 (6 marks): In this question you must show detailed reasoning. A particle moves in a straight line. Its velocity t seconds after leaving a fixed point on the line is v m s
- June 2025, AS Paper 2, Q9 (7 marks): An athlete runs with velocity v m s 1 9 - along a horizontal straight running track AB. At time 2 t seconds after passing A, v 0 05 . t 0 4 . t + , where k is a
- June 2024, Paper 3, Q12 (10 marks): 12 A particle P moves in a straight line. The velocity ms v - of P at time t seconds is given by 1 v kt t ( 3 ) for 0 t 6 , = - G G 12 k 54 v for 6 t 9 , = G G
- June 2024, AS Paper 2, Q11 (10 marks): A man P runs in a straight line from O to A, leaving O at time t 0 . At time t seconds his velocity = 1 0 003 2 v ms - is given by v t . 5 . = + - , starting 5
- June 2023, Paper 3, Q7 (12 marks): 7 A car C is moving horizontally in a straight line with velocity ms v - at time t seconds, where - , of C is modelled by the equation 2 v 0 and t 0 . The accel
- June 2023, Paper 3, Q12 (13 marks): - . 2 12 In this question you should take the acceleration due to gravity to be 10 ms 39 ms–1 θ A 20m B C 1 A small ball P is projected from a point A with spee
- June 2023, AS Paper 2, Q10 (8 marks): , P has velocity v ms 1 10 A particle P is moving in a straight line. At time t seconds, where t 0 - and H acceleration a ms 2 - where a t4 - . It is given that
- June 2022, AS Paper 2, Q11 (9 marks): v (ms–1) t (s) O T A particle P moves along the x‑axis. At time t seconds, where t 0 , the velocity of P in the H - . It is given that s 1 positive x‑direction
- November 2021, AS Paper 2, Q12 (7 marks): v (ms–1) t (s) O - . It , the velocity of P is v m s 1 A particle P moves in a straight line. At time t seconds, where t 0 H 2 is given that v 3 t 24 t + , wher
- November 2020, Paper 3, Q8 (7 marks): - , at time t seconds as A car is travelling on a straight horizontal road. The velocity of the car, vms 1 8 it travels past three points, P, Q and R, is modell
- November 2020, AS Paper 2, Q10 (6 marks): A particle P is moving in a straight line. At time t seconds P has velocity v m s 1 - where v ( 2 t 1 3 )( t ) . = + - (a) Find the deceleration of P when t = 4
- June 2019, AS Paper 2, Q10 (8 marks): v (ms-1) 18 9 t (s) 0 0 5 10 The diagram shows the velocity-time graph modelling the velocity of a car as it approaches, and drives through, a residential area.
- June 2018, Paper 3, Q11 (10 marks): The velocity v m s-1 of a car at time t s, during the first 20 s of its journey, is given by v = kt + 0.03t 2, where 11 k is a constant. When t = 20 the acceler
- June 2018, AS Paper 2, Q11 (13 marks): 10m 18m B O A A particle P is moving along a straight line with constant acceleration. Initially the particle is at O. After 9 s, P is at a point A, where OA =
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