plumiFurther dynamics and kinematics: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FM.7 Further dynamics and kinematics, 2018–2025, with its mark scheme and examiner’s report.
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All 21 questions on Further dynamics and kinematics, 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, Q8 (10 marks): A particle P of mass 3m kg is attached to one end of a light elastic string of modulus of elasticity 4mg N and natural length 0.4 m. The other end of the string
- 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 2023, Mechanics Major, Q7 (9 marks): One end of a rope is attached to a block A of mass 2 kg. The other end of the rope is attached to a second block B of mass 4 kg. Block A is held at rest on a fi
- June 2023, Mechanics Major, Q13 (15 marks): A particle P of mass m is fixed to one end of a light spring of natural length a and modulus of elasticity man2, where n 2 0 . The other end of the spring is at
- 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. - ,
- June 2022, AS Mechanics B, Q2 (6 marks): A light elastic string has natural length a and modulus of elasticity kmg, where k 2 2. One end of the string is attached to a fixed point O. A particle P of ma
- 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, Mechanics Major, Q12 (18 marks): A particle P of mass m is fixed to one end of a light elastic string of natural length l and modulus of elasticity 12mg. The other end of the string is attached
- November 2021, AS Mechanics A, Q6 (9 marks): Fig. 6.1 shows a cross-section through a block of mass 5 kg which is on top of a trolley of mass 11 kg. The trolley is on top of a smooth horizontal surface. Th
- 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 2021, AS Mechanics B, Q6 (13 marks): A section of a golf practice ground is inclined at 15° to the horizontal. A golfer is hitting a ball up and down a line of greatest slope of this section of the
- 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
- November 2020, Mechanics Major, Q7 (13 marks): O P A 30° Fig. 7 A particle P of mass m is attached to one end of a light elastic string of natural length 6a and modulus of elasticity 3mg. The other end of th
- 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, Q9 (12 marks): O a l P Fig. 9 A particle P of mass m is joined to a fixed point O by a light inextensible string of length l. P is released from rest with the string taut and
- 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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