plumiKinematics: OCR A‑Level Maths questions
Every OCR A-Level Maths exam question on M.7 Kinematics, 2018–2025, with its mark scheme and examiner’s report.
Find questions494
All 48 questions on Kinematics, as a list
- June 2025, Paper 3, Q7 (5 marks): A particle P of mass 3 kg is moving on a smooth horizontal surface under the action of two - . m s 2 constant horizontal forces ( 5 i 3 j ) N and ( a i 3 b j )
- 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, Paper 3, Q11 (14 marks): - . 11 In this question you should take the acceleration due to gravity to be 10 m s 2 The unit vectors i and j are in a vertical plane with i horizontal and j
- 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 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, Paper 3, Q8 (6 marks): - . At time t s 2 8 A particle P is moving with constant acceleration ( 5 i 2 j )m 0 seconds, P is at - + = - . s 1 the origin and has velocity ( i 3 j ) m + (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, Paper 3, Q13 (12 marks): B 6ms–1 1.375m θ A C The points A and B are the lower and upper ends, respectively, of a line of greatest slope on a plane inclined at an angle i to the horizon
- 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 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, Q8 (4 marks): - . At time t = 4 seconds, P has velocity 2 8 A particle P moves with constant acceleration ( 3 i 2 j )ms - - . 1 i6 ms Determine the speed of P at time t = 0 s
- 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, 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, 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 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, Paper 3, Q10 (8 marks): P B Q A rectangular block B is at rest on a horizontal surface. A particle P of mass 2.5 kg is placed on the upper surface of B. The particle P is attached to o
- June 2022, Paper 3, Q12 (13 marks): In this question the unit vectors i and j are in the directions east and north respectively. A particle P is moving on a smooth horizontal surface under the act
- June 2022, Paper 3, Q13 (14 marks): A small ball B moves in the plane of a fixed horizontal axis Ox, which lies on horizontal ground, and a fixed vertically upwards axis Oy. B is projected from O
- 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, 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
- 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, Paper 3, Q11 (10 marks): 25ms–1 15° A 4m B A golfer hits a ball from a point A with a speed of 25 m s 1 - at an angle of 15° above the horizontal. While the ball is in the air, it is mo
- November 2021, Paper 3, Q13 (13 marks): In this question the unit vectors i and j are in the directions east and north respectively. At time t seconds, where t 0 , a particle P of mass 2 kg is moving
- November 2021, Paper 3, Q14 (11 marks): B 3kg A 2 kg C 30° 4 kg Π 60° 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 seco
- 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 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, Q7 (6 marks): - . At time t = 0 seconds, P is moving 2 ms 2 7 A particle P moves with constant acceleration ( 4 i j ) - + - . 6 ms 1 with velocity ( 7 i j ) + (a) Determine t
- 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, 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, Paper 3, Q11 (13 marks): y x O C A particle P moves freely under gravity in the plane of a fixed horizontal axis Ox, which lies on horizontal ground, and a fixed vertical axis Oy. P is
- 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
- 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, Q8 (10 marks): A particle P projected from a point O on horizontal ground hits the ground after 2.4 seconds. 5 1 The horizontal component of the initial velocity of P is d ms
- 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, Paper 3, Q10 (13 marks): In this question the unit vectors i and j are in the directions east and north respectively. A particle R of mass 2 kg is moving on a smooth horizontal surface
- 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 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, Q8 (6 marks): In this question 1 c m and 0 c m denote unit vectors which are horizontal and vertically upwards respectively. 8 0 1 c 2 m m, is acted on by gravity and A parti
- 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, Q9 (4 marks): In this question the horizontal unit vectors i and j are in the directions east and north respectively. A model ship of mass 2 kg is moving so that its accelera
- 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 =
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every OCR A-Level Maths paper.
Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.