plumiKinematics: AQA A‑Level Maths questions
Every AQA A-Level Maths exam question on Q Kinematics, 2018–2025, with its mark scheme and examiner’s report.
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![June 2024 Paper 2, question 14: The displacement, r metres, of a particle at time t seconds is r = 6t – 2t 2 14 (a) Find the value of r when t = 4 [1 mark] 14 (b) Determine the range of values](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/73572-jun24-14-qp.webp)
All 41 questions on Kinematics, as a list
- June 2025, Paper 2, Q12 (1 mark): A particle moves in a straight line for 8 seconds. The velocity v, in m s–1, of the particle at time t seconds is shown in the diagram. v t 2 0 2 4 6 8 –2 Find
- June 2025, Paper 2, Q13 (3 marks): A car moves, in a straight line on a horizontal road, from a point A to a point B The distance AB is 225 metres. At the point B, the velocity of the car is 30 m
- June 2025, Paper 2, Q14 (4 marks): In this question use g = 9.8 m s–2 An arrow is projected from a point P which is at a height of 2.5 metres above the horizontal ground. The arrow has an initial
- June 2025, Paper 2, Q19 (8 marks): The displacement, s metres, of a particle P, at time t seconds, is given by s = (2t3) i + (2t2 + qt) j 19 (a) Find an expression for the velocity of particle P
- June 2024, Paper 2, Q13 (1 mark): A car starting from rest moves forward in a straight line. The motion of the car is modelled by the velocity–time graph below: One of the following assumptions
- June 2024, Paper 2, Q14 (3 marks): The displacement, r metres, of a particle at time t seconds is r = 6t – 2t 2 14 (a) Find the value of r when t = 4 [1 mark] 14 (b) Determine the range of values
- June 2024, Paper 2, Q16 (4 marks): In this question use g = 9.8 m s–2 An apple tree stands on horizontal ground. An apple hangs, at rest, from a branch of the tree. A second apple also hangs, at
- June 2024, Paper 2, Q18 (7 marks): A particle is moving in a straight line through the origin O The displacement of the particle, r metres, from O, at time t seconds is given by r = p + 2t – qe –
- June 2024, Paper 2, Q19 (8 marks): In this question use g = 9.8 m s–2 A toy shoots balls upwards with an initial velocity of 7 m s–1 The advertisement for this toy claims the balls can reach a ma
- June 2024, Paper 2, Q20 (9 marks): Two particles P and Q are moving in separate straight lines across a smooth horizontal surface. P moves with constant velocity (3i + 4j) m s–1 Q moves from posi
- June 2023, Paper 2, Q12 (1 mark): A particle moves in a straight line. After the first 4 seconds of its motion, the displacement of the particle from its initial position is 0 metres. One of the
- June 2023, Paper 2, Q13 (5 marks): A ball falls freely towards the Earth. The ball passes through two different fixed points M and N before reaching the Earth’s surface. At M the ball has velocit
- June 2023, Paper 2, Q14 (4 marks): A car has an initial velocity of 1 m s−1 The car is moving in a straight line. The acceleration a m s−2 of the car at time t seconds is given by a = 3kt2 − 2kt
- June 2023, Paper 2, Q18 (6 marks): In this question i and j are perpendicular unit vectors representing due east and due north respectively. A particle, T, is moving on a plane at a constant spee
- June 2023, Paper 2, Q19 (12 marks): A wooden toy comprises a train engine and a trailer connected to each other by a light, inextensible rod. The train engine has a mass of 1.5 kilograms. The trai
- June 2023, Paper 2, Q20 (7 marks): In this question use g = 9:8 m s−2 Nell and her pet dog Maia are visiting the beach. The beach surface can be assumed to be level and horizontal. Nell and Maia
- June 2022, Paper 2, Q12 (1 mark): A car is travelling along a straight horizontal road with initial velocity u m s−1 The car begins to accelerate at a constant rate a m s−2 for 5 seconds, to rea
- June 2022, Paper 2, Q13 (6 marks): In this question use g = 9:8 m s−2 A ball is projected from a point on horizontal ground with an initial velocity of 7 m s−1 at an angle y above the horizontal.
- June 2022, Paper 2, Q15 (4 marks): A car is moving in a straight line along a horizontal road. The graph below shows how the car’s velocity v m s−1 changes with time, t seconds. 0 – 1 – 2 – 3 – 4
- June 2022, Paper 2, Q16 (8 marks): Two particles, P and Q, move in the same horizontal plane. Particle P is initially at rest at the point with position vector (−4i + 5j) metres and moves with co
- June 2022, Paper 2, Q17 (7 marks): A particle is moving such that its position vector, r metres, at time t seconds, is given by r = et cos t i + et sin t j Show that the magnitude of the accelera
- November 2021, Paper 2, Q11 (1 mark): A particle’s displacement, r metres, with respect to time, t seconds, is defined by the equation r = 3e0:5t Find an expression for the velocity, v m s−1, of the
- November 2021, Paper 2, Q13 (3 marks): A vehicle, of total mass 1200 kg, is travelling along a straight, horizontal road at a constant speed of 13 m s−1 This vehicle begins to accelerate at a constan
- November 2021, Paper 2, Q14 (4 marks): A motorised scooter is travelling along a straight path with velocity v m s−1 over time t seconds as shown by the following graph. 20 30 40 0 0 2 4 6 8 10 10 t
- November 2021, Paper 2, Q17 (11 marks): A ball is released from a great height so that it falls vertically downwards towards the surface of the Earth. 17 (a) Using a simple model, Andy predicts that t
- November 2021, Paper 2, Q18 (11 marks): Two particles, P and Q, are projected at the same time from a fixed point X, on the ground, so that they travel in the same vertical plane. P is projected at an
- November 2021, Paper 2, Q19 (10 marks): Two skaters, Jo and Amba, are separately skating across a smooth, horizontal surface of ice. Both are moving in the same direction, so that their paths are stra
- November 2020, Paper 2, Q14 (7 marks): At time t seconds a particle, P, has position vector r metres, with respect to a fixed origin, such that r = (t3 − 5t2)i + (8t − t2)j 14 (a) Find the exact spee
- November 2020, Paper 2, Q15 (5 marks): A particle is moving in a straight line with velocity v m s−1 at time t seconds as shown by the graph below. 40 60 80 0 0 40 80 120 160 200 20 60 100 140 180 20
- November 2020, Paper 2, Q16 (5 marks): Two particles A and B are released from rest from different starting points above a horizontal surface. A is released from a height of h metres. B is released a
- November 2020, Paper 2, Q17 (6 marks): A ball is projected forward from a fixed point, P, on a horizontal surface with an initial speed u m s−1, at an acute angle y above the horizontal. The ball nee
- November 2020, Paper 2, Q18 (13 marks): Block A, of mass 0.2 kg, lies at rest on a rough plane. The plane is inclined at an angle y to the horizontal, such that tany = 7 24 A light inextensible string
- November 2020, Paper 2, Q19 (8 marks): A particle moves so that its acceleration, a m s−2, at time t seconds may be modelled in terms of its velocity, v m s−1, as a = −0:1v2 The initial velocity of t
- June 2019, Paper 2, Q10 (1 mark): The diagram below shows a velocity-time graph for a particle moving with velocity v m s−1 at time t seconds. – 20 0 20 – 10 10 v (m s –1) t (s) 4 6 8 0 2 3 5 7
- June 2019, Paper 2, Q13 (5 marks): In a school experiment, a particle, of mass m kilograms, is released from rest at a point h metres above the ground. At the instant it reaches the ground, the p
- June 2019, Paper 2, Q16 (16 marks): An elite athlete runs in a straight line to complete a 100-metre race. During the race, the athlete’s velocity, v m s−1, may be modelled by v = 11:71 − 11:68e−0
- June 2018, Paper 2, Q10 (1 mark): A garden snail moves in a straight line from rest to 1.28 cm s−1, with a constant acceleration in 1.8 seconds. Find the acceleration of the snail. Circle your a
- June 2018, Paper 2, Q12 (5 marks): The graph below shows the velocity of an object moving in a straight line over a 20 second journey. 0 1 – 1 – 2 – 3 – 4 – 5 2 3 1 2 3 4 6 7 8 9 10 11 12 13 14 1
- June 2018, Paper 2, Q15 (9 marks): A driver is road-testing two minibuses, A and B, for a taxi company. The performance of each minibus along a straight track is compared. A flag is dropped to in
- June 2018, Paper 2, Q16 (6 marks): In this question use g = 9.81 m s−2 A particle is projected with an initial speed u, at an angle of 35° above the horizontal. It lands at a point 10 metres vert
- June 2018, Paper 2, Q17 (14 marks): A buggy is pulling a roller-skater, in a straight line along a horizontal road, by means of a connecting rope as shown in the diagram. The combined mass of the
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