plumiKinematics: OCR MEI A‑Level Maths questions
Every OCR MEI A-Level Maths exam question on M.7 Kinematics, 2018–2025, with its mark scheme and examiner’s report.
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![June 2023 Paper 1, question 1: - . 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]](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/h64001-jun23-01-qp.webp?v=3)
All 46 questions on Kinematics, as a list
- June 2025, Paper 1, Q6 (8 marks): 6 A car is travelling along a straight horizontal road. The car’s velocity ms v - at time t s is shown in the velocity-time graph below. The points (0, 3) and (
- 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, Paper 1, Q13 (9 marks): The displacement r m of a parachutist t s after opening their parachute is modelled by c 50 t m r = 0 16 . t 280 5 t 280 e - + - where the x-direction is horizo
- 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, Paper 1, Q12 (6 marks): In this question the unit vectors i and j are in the x- and y-directions respectively. The velocity v m s–1 of a particle is given by 2 v 3 i ( 6 t 5 ) j . The
- June 2024, Paper 1, Q14 (7 marks): A man runs at a constant speed of 4 m s–1 along a straight horizontal road. A woman is standing on a bridge that spans the road. At the instant that the man pas
- 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
- 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, Paper 1, Q12 (7 marks): In this question the unit vectors i and j are horizontal and vertically upwards respectively. A particle has mass 2 kg. (a) Write down its weight as a vector. [
- June 2023, Paper 1, Q15 (8 marks): A projectile is launched from a point on level ground with an initial velocity u at an angle i above the horizontal. 2 2 u sin cos i i . (a) Show that the range
- 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
- June 2023, AS Paper 1, Q5 (5 marks): The graph shows displacement s m against time t s for a model of the motion of a bead moving along a straight wire. The points (0, 4), (2, 7), (5, 7) and (9, –7
- 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, Q1 (4 marks): A particle moves along a straight line. The displacement s m at time t s is shown in the displacement- time graph below. The graph consists of straight line seg
- June 2022, Paper 1, Q7 (6 marks): In this question the x- and y-directions are horizontal and vertically upwards respectively and the origin is on horizontal ground. c m 14 1 A ball is thrown fr
- June 2022, Paper 1, Q9 (8 marks): In this question, the vectors i and j are directed east and north respectively. s 1 2 The velocity m v - of a particle at time t s is given by v kt i 6 t j , wh
- 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, 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)
- 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, Paper 1, Q13 (13 marks): In this question i and j are unit vectors in the x- and y-directions respectively. - . At time t = 0 the position of the 2 + m s 1 The velocity of a particle at
- 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 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
- November 2020, Paper 1, Q5 (5 marks): A child is running up and down a path. A simplified model of the child’s motion is as follows: - ; • he first runs north for 5 s at 4 m s 1 • he then suddenly s
- 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
- November 2020, Paper 1, Q13 (11 marks): - at an angle of i° above the horizontal. 13 A projectile is fired from ground level at 35 m s 1 (a) State a modelling assumption that is used in the standard p
- 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
- 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, 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
- June 2019, Paper 1, Q9 (7 marks): A cannonball is fired from a point on horizontal ground at 100ms 1 9 - at an angle of 25° above the horizontal. Ignoring air resistance, calculate (a) the great
- June 2019, Paper 1, Q11 (5 marks): In this question, the unit vector i is horizontal and the unit vector j is vertically upwards. A particle of mass 0.8 kg moves under the action of its weight an
- 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, Q5 (4 marks): The position vector r metres of a particle at time t seconds is given by 2 2 r t t i t t j ( 1 12 2 ) ( 6 ) . = + - + - (i) Find an expression for the velocity
- June 2018, Paper 1, Q9 (10 marks): A pebble is thrown horizontally at 14 m s–1 from a window which is 5 m above horizontal ground. The 9 pebble goes over a fence 2 m high d m away from the window
- 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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