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

OCR A-Level Maths past-paper questions on 3.02.2 Constant 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.

All 20 questions on Constant acceleration in a straight line, as a list

June 2025, AS Paper 2, Q10 (6 marks): 1 v (m s ( ) - 15 10 Q P 0 t(s) 0 20 The velocity-time graph represents the motion of two cyclists P and Q who are travelling along a straight, horizontal road.
June 2025, AS Paper 2, Q11 (13 marks): 5m B Q P 5 kg A 2kg 3kg C One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a second p
June 2024, AS Paper 2, Q10 (11 marks): Q P 3kg 2 kg 4m Two small balls P and Q, of masses 3 kg and 2 kg respectively, are attached to the ends of a light inextensible string. The string passes over a
June 2023, Paper 3, Q13 (12 marks): B 2kg P 4kg 60° The diagram shows a small block B, of mass 2 kg, and a particle P, of mass 4 kg, which are attached to the ends of a light inextensible string.
June 2023, AS Paper 2, Q9 (4 marks): A cyclist travels along a straight horizontal road between house A and house B. The cyclist starts from rest at A and moves with constant acceleration for 20 se
June 2023, AS Paper 2, Q11 (13 marks): Two balls P and Q have masses 0.6 kg and 0.4 kg respectively. The balls are attached to the ends of a string. The string passes over a pulley which is fixed at
June 2022, Paper 3, Q9 (6 marks): v(ms–1) 20 12 B 8 A t (s) 0 0 30 The diagram shows a velocity-time graph representing the motion of two cars A and B which are both travelling along a horizonta
June 2022, AS Paper 2, Q10 (3 marks): A small ball B is projected vertically upwards from a point 2 m above horizontal ground. B is - , and takes t seconds to reach the ground. s 1 projected with in
June 2022, AS Paper 2, Q12 (11 marks): P 1.75m Q Particles P and Q, of masses 4 kg and 6 kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth fixe
November 2021, Paper 3, Q9 (3 marks): There are three checkpoints, A, B and C, in that order, on a straight horizontal road. A car travels along the road, in the direction from A to C, with constant
November 2021, AS Paper 2, Q10 (8 marks): A cyclist starts from rest and moves with constant acceleration along a straight horizontal road. The cyclist reaches a speed of 6 m s 1 - in 25 seconds. The cy
November 2021, AS Paper 2, Q11 (7 marks): 1250N 9000N B A 20 000kg 50 000kg direction of motion A train consists of an engine A of mass 50 000 kg and a carriage B of mass 20 000 kg. The engine and carri
November 2020, Paper 3, Q9 (13 marks): P B 1.5m A i One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a second particle B of
November 2020, AS Paper 2, Q11 (10 marks): A car starts from rest at a set of traffic lights and moves along a straight road with constant acceleration 4 m s-2. A motorcycle, travelling parallel to the c
June 2019, Paper 3, Q7 (4 marks): 7 A cyclist starting from rest accelerates uniformly at .1 5ms - for 4 s and then travels at constant speed. (a) Sketch a velocity-time graph to represent the f
June 2019, Paper 3, Q9 (9 marks): B 0.2kg P 0.5kg i The diagram shows a small block B, of mass 0.2 kg, and a particle P, of mass 0.5 kg, which are attached to the ends of a light inextensible st
June 2019, AS Paper 2, Q11 (16 marks): Two small balls P and Q have masses 3 kg and 2 kg respectively. The balls are attached to the ends of a string. P is held at rest on a rough horizontal surface.
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, Q10 (8 marks): Particles P and Q, of masses 3 kg and 5 kg respectively, are attached to the ends of a light inextensible string. The string passes over a smooth fixed pulley.
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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