plumiKinematics: WJEC A‑Level Maths questions
Every WJEC A-Level Maths exam question on M.7 Kinematics, 2018–2025, with its mark scheme and examiner’s report.
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![Summer 2025 AS Unit 2, question 7: Using the equations v u at s u v t 7. (a) and , show that 2 1 2 s ut at . [2] 2 (b) A small object, of mass 0·07 kg, is projected vertically upw](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/2300u20-jun25-07-qp.webp)
All 32 questions on Kinematics, as a list
- Summer 2025, Unit 4, Q7 (8 marks): A particle of mass 1.2 kg is moving in a straight line under the action of a variable force F N, 7. where 30 F . 2 t 2 The speed of the particle at time
- Summer 2025, Unit 4, Q9 (9 marks): 9. A small rocket R is launched from a point O on horizontal ground so that it is moving in a vertical plane, where the unit vectors i and j are horizontal and
- Summer 2025, AS Unit 2, Q7 (6 marks): Using the equations v u at s u v t 7. (a) and , show that 2 1 2 s ut at . [2] 2 (b) A small object, of mass 0·07 kg, is projected vertically upw
- Summer 2025, AS Unit 2, Q9 (4 marks): 9. A small toy car, which may be modelled as a particle, is moving along a straight horizontal track as shown below. Two points A and B are positioned along the
- Summer 2025, AS Unit 2, Q10 (11 marks): 10. A lift is pulled upwards by means of a single cable, as shown in the diagram on the right. A person of mass 80 kg is standing in the lift. The mass of the l
- Summer 2024, Unit 4, Q6 (8 marks): A ball is projected with velocity 1 4 w i 7 w j 6. ms from the top of a vertical tower. After 5 seconds, the ball hits the ground at a point that is 60
- Summer 2024, Unit 4, Q9 (11 marks): 9. The diagram below shows a parcel, of mass m kg, sliding down a rough slope inclined at an 7 angle α to the horizontal, where sin . 25 α The coefficient o
- Summer 2024, AS Unit 2, Q6 (4 marks): A ship S is moving with constant velocity 1 4 i 7 j ms 6. , where i and j are unit vectors due east and due north respectively. Find the speed and direc
- Summer 2024, AS Unit 2, Q8 (7 marks): 8. A particle, of mass 4 kg, moves in a straight line under the action of a single force F N, whose magnitude at time t seconds is given by F 12 t 32 for t
- Summer 2024, AS Unit 2, Q9 (9 marks): 9. The diagram below shows an object A, of mass 2m kg, lying on a horizontal table. It is connected to another object B, of mass m kg, by a light inextensible s
- Summer 2024, AS Unit 2, Q10 (11 marks): 10. A car, starting from rest at a point A, travels along a straight horizontal road towards a point B. The distance between points A and B is 1∙9 km. Initially
- Summer 2023, Unit 4, Q6 (9 marks): A particle P moves on a horizontal plane, where i and j are unit vectors in directions 0 6 east and north respectively. At time t seconds, the position vector o
- Summer 2023, Unit 4, Q8 (8 marks): A boy kicks a ball from a point O on horizontal ground towards a vertical wall AB. The 0 8 initial speed of the ball is 23 ms–1 in a direction that is 18° above
- Summer 2023, Unit 4, Q10 (8 marks): A train is moving along a straight horizontal track. At time t seconds, its velocity is 1 0 v ms–1, its acceleration is a ms–2, and a is inversely proportional
- Summer 2023, AS Unit 2, Q8 (5 marks): 8 A particle P moves in a straight line such that its displacement, s metres, at time t seconds, relative to a fixed point is given by s = 4t2 – t3 for t x 0. F
- Summer 2023, AS Unit 2, Q10 (10 marks): 0 The diagram below shows two objects A and B connected by a light inextensible string passing over a smooth fixed pulley. Object A has mass 4∙5 kg and object B
- Summer 2023, AS Unit 2, Q11 (8 marks): 1 A particle, which is initially at the point A, travels in a straight line during the interval 0 X t X 22, where t is the time in seconds. The diagram below sh
- Summer 2022, Unit 4, Q10 (9 marks): A golfer hits a ball towards a flag F, from a point O, with initial velocity of 35 ms−1, at 1 0 an angle θ above the horizontal. During its flight, the position
- Summer 2022, AS Unit 2, Q8 (5 marks): 8 An aircraft moves along a straight horizontal runway with a constant acceleration of 1∙5 ms–2. Points A and B lie on the runway. The aircraft passes A with sp
- Summer 2022, AS Unit 2, Q10 (6 marks): 0 In this question, i and j represent unit vectors due east and due north respectively. Sarah is going for a walk. She leaves her house and walks directly to th
- Summer 2022, AS Unit 2, Q11 (9 marks): 1 A particle P moves along the x-axis so that its velocity v ms–1 at time t seconds (t x 0) is given by v = 3t2 − 24t + 36. a) Find the values of t when P is in
- Summer 2019, Unit 4, Q6 (9 marks): A particle P of mass 0∙5 kg moves on a horizontal plane such that its velocity vector v ms–1 0 6 at time t seconds is given by v = 12cos(3t) i – 5 sin(2t) j. a)
- Summer 2019, Unit 4, Q8 (7 marks): 8 A box of mass 2 kg is projected along a horizontal surface with an initial velocity of 5 ms–1. The box experiences a variable resistive force of 0.4v2 N, wher
- Summer 2019, Unit 4, Q10 (9 marks): 0 A tennis ball is projected with velocity vector (30i – 1∙4j) ms–1 from a point P which is at a height of 2∙4 m vertically above a horizontal tennis court. The
- Summer 2019, AS Unit 2, Q7 (6 marks): An athlete is running along a straight horizontal track during the interval 0 X t X 8, where 0 7 t is the time in seconds. The displacement, s metres, of the at
- Summer 2019, AS Unit 2, Q8 (9 marks): 8 Lowri kicks a football vertically upwards with a speed of u ms–1 from a point which is 0∙9 m above horizontal ground. The ball reaches a greatest height of 10
- Summer 2019, AS Unit 2, Q9 (6 marks): 9 A particle moves in a straight line so that its acceleration a ms–2 at time t seconds is given by 2t − 8 for 0 X t X 5, ⎧ a = ⎨ 2 for t 1 5. ⎩ At time t = 0,
- Summer 2018, Unit 4, Q7 (11 marks): An object of mass 0.5 kg is thrown vertically upwards with initial speed 24 ms–1. The 0 7 velocity of the object at time t seconds is v ms–1. During the upward
- Summer 2018, Unit 4, Q9 (10 marks): Points A and B lie on horizontal ground. At time t = 0 seconds, an object P is projected 0 9 from A towards B such that AB is the range of P. The speed of proje
- Summer 2018, Unit 4, Q10 (6 marks): A particle of mass 2 kg moves under the action of a constant force F N, where F is given 1 0 by F = –3i + 4j – 5k. a) Find the magnitude of the acceleration of
- Summer 2018, AS Unit 2, Q7 (3 marks): A particle moves along the horizontal x-axis so that its velocity v ms–1 at time t seconds 0 7 is given by v = 6t2 – 8t – 5. At time t = 1, the particle’s displ
- Summer 2018, AS Unit 2, Q11 (12 marks): A vehicle moves along a straight horizontal road. Points A and B lie on the road. 1 1 As the vehicle passes point A, it is moving with constant speed 15 ms–1. I
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