Motion in two dimensions with vectors: Edexcel A‑Level Maths questions

Edexcel A-Level Maths past-paper questions on 7.4 Motion in two dimensions with vectors, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

All 15 questions on Motion in two dimensions with vectors, as a list

June 2025, Mechanics, Q3 (8 marks): [In this question, i and j are horizontal unit vectors due east and due north respectively.] A particle P of mass 0.5 kg moves with constant acceleration (2i –
June 2025, Mechanics, Q4 (9 marks): [In this question, position vectors are given relative to a fixed origin O.] At time t seconds, where t > 0, the position vector of a particle P is r metres whe
June 2024, Mechanics, Q4 (11 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. [In this question, i is a uni
June 2023, Mechanics, Q3 (9 marks): At time t seconds, where t  0, a particle P has velocity v m s –1 where v i j ( ) ( ) t t t 2 2 3 7 2 3 Find (a) the speed of P at time t = 0 (3) (b) the value
June 2023, Mechanics, Q4 (10 marks): [In this question, i and j are horizontal unit vectors and position vectors are given relative to a fixed origin O] A particle P is moving on a smooth horizonta
June 2022, Mechanics, Q1 (8 marks): [In this question, position vectors are given relative to a fixed origin.] At time t seconds, where t > 0 , a particle P has velocity v m s –1 where v = 3t 2i –
June 2022, Mechanics, Q3 (9 marks): [In this question, i and j are horizontal unit vectors.] A particle P of mass 4 kg is at rest at the point A on a smooth horizontal plane. At time t = 0, two fo
November 2021, Mechanics, Q1 (4 marks): A particle P moves with constant acceleration (2i − 3j) m s−2 At time t = 0, P is moving with velocity 4i m s−1 (a) Find the velocity of P at time t = 2 seconds
November 2021, Mechanics, Q5 (14 marks): At time t seconds, a particle P has velocity v m s−1, where v = 3t 1 2 i − 2t j t > 0 (a) Find the acceleration of P at time t seconds, where t > 0 (2) (b) Find
November 2020, Mechanics, Q2 (8 marks): A particle P moves with acceleration (4i − 5j) m s−2 At time t = 0, P is moving with velocity (−2i + 2j) m s−1 (a) Find the velocity of P at time t = 2 seconds.
November 2020, Mechanics, Q3 (12 marks): (i) At time t seconds, where t  0 , a particle P moves so that its acceleration a m s−2 is given by a = (1 − 4t) i + (3 − t2) j At the instant when t = 0, the
June 2019, Mechanics, Q1 (6 marks): [In this question position vectors are given relative to afixed origin O| At time ¢ seconds, where ft > 0, a particle, P, moves so that its velocity vms! is giv
June 2019, Mechanics, Q2 (8 marks): A particle, P, moves with constant acceleration (2i — 3j)ms7? At time ¢ = 0, the particle is at the point A and is moving with velocity (-i + 4j)ms! At time ¢ =
June 2018, Statistics and Mechanics, Q6 (6 marks): At time t seconds, where t  0, a particle P moves in the x-y plane in such a way that its velocity v m s−1 is given by v = t −1 2 i − 4tj When t = 1, P is at t
June 2018, Statistics and Mechanics, Q8 (8 marks): [In this question i and j are horizontal unit vectors due east and due north respectively and position vectors are given relative to the fixed point O.] A parti

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