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

OCR MEI A-Level Maths past-paper questions on 7.2 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 22 questions on Constant acceleration in a straight line, as a list

June 2025, Paper 1, Q12 (8 marks): In this question x and y are the horizontal and upwards vertical directions respectively. An astronaut is standing on the surface of the moon exploring the moti
June 2025, AS Paper 1, Q8 (3 marks): – . 2 8 On the planet Mars, acceleration due to gravity is . 3 71 ms (a) Calculate the time it would take an object to fall to the planet’s surface from rest fr
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
June 2024, Paper 1, Q9 (7 marks): A child throws a pebble of mass 40 g vertically downwards with a speed of 6 m s–1 from a point 9 0.8 m above a sandy beach. (a) Calculate the speed at which the
June 2024, AS Paper 1, Q9 (7 marks): Two trains are travelling in the same direction on parallel straight tracks and train A overtakes train B. At time t seconds after the front of train A overtake
June 2023, Paper 1, Q1 (2 marks): - . 1 1 A ball is thrown vertically upwards with a speed of ms 8 Find the times at which the ball is 3 m above the point of projection. [2]
June 2023, Paper 1, Q8 (11 marks): - . At 1 8 A bus is travelling along a straight road at . ms 5 4 t 0 , as the bus passes a boy standing = 2 on the pavement, the boy starts running in the same
June 2023, AS Paper 1, Q12 (8 marks): Points A, B and C lie in a straight line in that order on horizontal ground. A box of mass 5 kg is pushed from A to C by a horizontal force of magnitude 8 N. Th
June 2022, Paper 1, Q13 (12 marks): A toy train consists of an engine of mass 0.5 kg pulling a coach of mass 0.4 kg. The coupling between the engine and the coach is light and inextensible. The tr
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
November 2021, Paper 1, Q10 (11 marks): - . 10 A ball is thrown upwards with a velocity of 29.4 m s 1 (a) Show that the ball reaches its maximum height after 3 s. [1] (b) Sketch a velocity-time graph
November 2021, Paper 1, Q12 (7 marks): A box of mass m kg slides down a rough slope inclined at 15° to the horizontal. The coefficient of friction between the box and the slope is 0.4. The box has an
November 2021, AS Paper 1, Q2 (2 marks): An unmanned craft lands on the planet Mars. A small bolt falls from the craft onto the surface of the planet. It falls 1.5 m from rest in 0.9 s. Calculate the a
November 2020, AS Paper 1, Q9 (6 marks): A car travelling in a straight line accelerates uniformly from rest to V ms 1 9 - in T s. It then slows down uniformly, coming to rest after a further 2T s. (a)
November 2020, AS Paper 1, Q10 (5 marks): An astronaut on the surface of the moon drops a ball from a point 2 m above the surface. 9 8ms 2 (a) Without any calculations, explain why a standard model usin
June 2019, Paper 1, Q5 (4 marks): A car of mass 1200 kg travels from rest along a straight horizontal road. The driving force is 4000 N and the total of all resistances to motion is 800 N. Calcu
June 2019, Paper 1, Q16 (14 marks): A particle of mass 2 kg slides down a plane inclined at 20° to the horizontal. The particle has an initial velocity of .1 4ms 1 - down the plane. Two models for
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
June 2018, Paper 1, Q4 (4 marks): Rory pushes a box of mass 2.8 kg across a rough horizontal floor against a resistance of 19 N. Rory applies a constant horizontal force. The box accelerates fro
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
June 2018, AS Paper 1, Q7 (6 marks): A toy boat of mass 1.5 kg is pushed across a pond, starting from rest, for 2.5 seconds. During this time, the boat has an acceleration of 2 m s-2. Subsequently,
June 2018, AS Paper 1, Q10 (9 marks): Rory runs a distance of 45 m in 12.5 s. He starts from rest and accelerates to a speed of 4 m s-1. He runs the 10 remaining distance at 4 m s-1. Rory proposes a

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