Motion in two dimensions with vectors: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on Q.4 Motion in two dimensions with vectors, 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.
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All 7 questions on Motion in two dimensions with vectors, as a list
- 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, 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, 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 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, 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
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