plumiVectors in mechanics: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 3.4 Vectors in mechanics, 2018–2025, with its mark scheme and examiner’s report.
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All 10 questions on Vectors in mechanics, as a list
- Summer 2025, AS Unit 3, Q1 (6 marks): A particle of mass 1∙5 kg is moving under the action of a single force F N so that its velocity 1. v ms–1 at time t seconds is given by v 3 i j 2 k. 2 t 4 t
- Summer 2025, AS Unit 3, Q3 (11 marks): t , a drone A has position vector (3 i 10 j 20 ) k m and is flying with 3. At time constant velocity ( i 2 j + k ) 1 t 0 ms . At time , another dro
- Summer 2024, AS Unit 3, Q3 (5 marks): Three forces k N , k N and i j 4 7 9 5 i 3 j 8 2 i 6 j 11 k N act on a particle. 3. Find the resultant R of the three forces. (a) [1]
- Summer 2024, AS Unit 3, Q5 (9 marks): 5. A particle of mass 2 kg is moving under the action of a force F N which, at time t seconds, is given by F 4 t i t j 6 k. t , the velocity of the part
- Summer 2023, Unit 6, Q5 (16 marks): 5. In this question, i and j represent unit vectors due east and due north respectively. Two smooth spheres P and Q, of equal radii, are moving on a smooth hori
- Summer 2023, AS Unit 3, Q2 (11 marks): 2. At time t = 0 seconds, a particle A has position vector (6i + 21j – 8k) m relative to a fixed origin O and is moving with constant velocity (3i – j + 4k) ms–
- Summer 2022, AS Unit 3, Q4 (9 marks): A particle P of mass 0∙5 kg is in equilibrium under the action of three forces F1, F2 and F3. 4. F1 = (9i + 6j – 12k) N and F2 = (6i – 7j + 3k) N. Find the forc
- Summer 2019, AS Unit 3, Q2 (10 marks): A particle of mass 0∙5 kg is moving under the action of a single force F N so that its velocity 2. v ms–1 at time t seconds is given by v = 3t2 i – 8tj + 2e–tk.
- Summer 2019, AS Unit 3, Q3 (10 marks): 3. The position vectors rA and rB, in kilometres, of two small aeroplanes A and B relative to a fixed point O are given by rA = (60i + 2j + 4k) + (168i + 132j)t
- Summer 2018, AS Unit 3, Q4 (11 marks): The position vector x metres at time t seconds of an object of mass 3 kg may be modelled by 4. x = 3sint i – 4cos2t j + 5sint k. Find an expression for the velo
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