plumiDifferential equations in kinematics and SHM: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 6.5 Differential equations in kinematics and SHM, 2018–2025, with its mark scheme and examiner’s report.
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All 7 questions on Differential equations in kinematics and SHM, as a list
- Summer 2025, Unit 6, Q4 (17 marks): 4. A particle P is moving along the x-axis with Simple Harmonic Motion with the origin O as its centre. Its displacement x metres from O, after t seconds, satis
- Summer 2024, Unit 6, Q4 (13 marks): 4. The diagram below shows part of a game at a funfair that consists of a target moving along a straight horizontal line AB. The centre of the target may be mod
- Summer 2023, Unit 6, Q3 (13 marks): 3. The vertical motion of a point on the surface of the water in a certain harbour may be modelled as Simple Harmonic Motion about a mean level. The diagram sho
- Summer 2023, Unit 6, Q6 (16 marks): 6. The diagram on the left shows a train of mass 50 tonnes approaching a buffer at the end of a straight horizontal railway track. The buffer is designed to pre
- Summer 2022, Unit 6, Q2 (15 marks): 2. A particle P moves along the x-axis such that its position x metres, after t seconds, is given by x = sin(πt) + 3 cos(πt) . (a) (i) Show that the motion of t
- Summer 2022, Unit 6, Q6 (14 marks): 6. The diagram shows a particle P, of mass 4 kg, lying on a smooth horizontal surface. It is attached by two light springs to fixed points A and B, where AB = 2
- Summer 2019, Unit 6, Q3 (14 marks): 3. A light elastic string, of natural length l m and modulus of elasticity 14 N, is hanging vertically with its upper end fixed and a particle of mass m kg atta
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