plumiVariable force and acceleration: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 7.1 Variable force and acceleration, 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 14 questions on Variable force and acceleration, as a list
- June 2025, Mechanics Major, Q3 (6 marks): KKKKKKK OOOOOOO 3 At time t seconds, the total force acting on a particle P of mass 4 kg is 8 sin t N. - 0 L P J N 0 KKKKKKK OOOOOOO - . m s 1 When t = 0 the ve
- June 2024, Mechanics Major, Q6 (6 marks): In this question you must show detailed reasoning. In this question, positions are given relative to a fixed origin, O. The unit vectors i and j are in the x- a
- June 2024, Mechanics Major, Q9 (11 marks): A particle P of mass 5 kg is released from rest at a point O and falls vertically. A resistance of 0 05 2 N acts vertically upwards on P, where m s 1 magnitude
- June 2023, Mechanics Major, Q6 (9 marks): At time t seconds, where t 0 , a particle P has position vector r metres, where H 2 3 2 r ( 2 t 12 t 6 ) i ( t 3 t 8 t ) . j = - + + + - - . 1 The velocity of P
- June 2022, Mechanics Major, Q5 (7 marks): At time t seconds, where t 0 , a particle P of mass 2 kg is moving on a smooth horizontal surface. H i j The particle moves under the action of a constant horiz
- June 2022, AS Mechanics B, Q1 (9 marks): A small smooth ring of mass 0.5 kg is travelling round a smooth circular wire, with centre O and radius 0.8 m. The circle of wire is in a horizontal plane. - ,
- November 2021, Mechanics Major, Q7 (12 marks): A box B of mass m kg is raised vertically by an engine working at a constant rate of kmg W. - . Initially B is at rest. The speed of B when it has been raised a
- November 2021, AS Mechanics B, Q2 (8 marks): 2 A particle, Q, moves so that its velocity, v, at time t is given by v ( 6 t 6 ) i ( 3 2 t t ) j 4 k , = - + - + + where 0 t 6 . G G (a) Explain how you know t
- November 2020, Mechanics Major, Q4 (10 marks): A particle P moves so that its position vector r at time t is given by 5 2 r ( 5 20 t ) i ( 95 10 t t ) . j = + + + - (a) Determine the initial velocity of P. [
- November 2020, Mechanics Major, Q5 (8 marks): A car of mass 900 kg moves along a straight level road. The power developed by the car is constant and equal to 60 kW. The resistance to the motion of the car i
- June 2019, Mechanics Major, Q5 (7 marks): A particle P of mass 4 kilograms moves in such a way that its position vector at time t seconds is r metres, where t3 r t3 i 2 e - j . = + (a) Find the initial
- June 2019, Mechanics Major, Q10 (8 marks): A particle P, of mass m, moves on a rough horizontal table. P is attracted towards a fixed point O on kmg the table by a force of magnitude x 2 , where x is the
- June 2019, AS Mechanics B, Q2 (7 marks): A particle P of mass m travels in a straight line on a smooth horizontal surface. At time t, P is a distance x from a fixed point O and is moving with speed v a
- June 2019, AS Mechanics B, Q3 (10 marks): A particle Q of mass m moves in a horizontal plane under the action of a single force F. J N 2 At time t, Q has velocity OO. KK t3 2 - L P (a) Find an expressio
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