plumiFurther dynamics: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on M3.3 Further dynamics, 2019–2025, with its mark scheme and examiner’s report.
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All 22 questions on Further dynamics, as a list
- June 2025, Mechanics 3 (M3), Q7 (16 marks): A B E P 4.5L 7L Figure 7 A particle P of mass m lies at rest on a smooth horizontal table. One end of a light elastic string, of natural length 3L and modulus o
- January 2025, Mechanics 3 (M3), Q7 (11 marks): E P 3 2 m ( ( 5 8 L O Figure 7 A light elastic spring has natural length L and modulus of elasticity 4mg. One end of the spring is attached to a point O on a ho
- June 2024, Mechanics 3 (M3), Q4 (10 marks): In a harbour, the water level rises and falls with the tides with simple harmonic motion. On a particular day, the depths of water in the harbour at low and hig
- June 2024, Mechanics 3 (M3), Q7 (15 marks): A particle P of mass m is attached to one end of a light elastic string of natural length l and modulus of elasticity 2mg. The other end of the string is attach
- January 2024, Mechanics 3 (M3), Q1 (6 marks): A spacecraft S of mass m moves in a straight line towards the centre, O, of a planet. The planet is modelled as a fixed sphere of radius R. The spacecraft S is
- January 2024, Mechanics 3 (M3), Q6 (14 marks): The fixed point A is vertically above the fixed point B, with AB = 3l A light elastic string has natural length l and modulus of elasticity 4mg One end of the s
- June 2023, Mechanics 3 (M3), Q5 (12 marks): The centre of the Earth is the point O and the Earth is modelled as a fixed sphere of radius R. At time t = 0, a particle P is projected vertically upwards with
- June 2023, Mechanics 3 (M3), Q7 (16 marks): A particle P of mass m is attached to one end of a light elastic string of natural length l. The other end of the string is attached to a fixed point on a ceili
- January 2023, Mechanics 3 (M3), Q7 (13 marks): B A O 4l l 5 3 Figure 7 Two points A and B lie on a smooth horizontal table where AB = 4l. A particle P of mass m is attached to one end of a light elastic spri
- June 2022, Mechanics 3 (M3), Q1 (6 marks): A particle P moves in a straight line with simple harmonic motion between two fixed points A and B. The particle performs 2 complete oscillations per second. Th
- June 2022, Mechanics 3 (M3), Q7 (16 marks): A O 5 m B P (1.25 kg) Figure 5 Figure 5 shows two fixed points, A and B, which are 5 m apart on a smooth horizontal floor. A particle P of mass 1.25 kg is attac
- January 2022, Mechanics 3 (M3), Q3 (8 marks): A particle P of mass m kg is initially held at rest at the point O on a smooth inclined plane. The plane is inclined at an angle α to the horizontal, where sin
- January 2022, Mechanics 3 (M3), Q5 (12 marks): A particle P is moving along the x‑axis. At time t seconds the displacement of P from the origin O is x metres, where x = 4 cos 1 5 πt (a) Prove tha
- October 2021, Mechanics 3 (M3), Q1 (6 marks): A particle P is moving in a straight line with simple harmonic motion of period 4 s. The centre of the motion is the point O At time t = 0, P passes through O A
- October 2021, Mechanics 3 (M3), Q3 (12 marks): P (m) E 3 5 l Figure 1 A particle P of mass m is attached to one end of a light elastic spring of natural length l and modulus of elasticity kmg, where k is a c
- June 2021, Mechanics 3 (M3), Q5 (11 marks): A particle P of mass 0.5 kg moves on the x-axis under the action of a single force. At time t seconds, t 0 • OP = x metres, 0 x < 2 π • the force has magnit
- June 2021, Mechanics 3 (M3), Q7 (17 marks): A P B O 7 m Figure 4 The fixed points A and B are 7 m apart on a smooth horizontal surface. A light elastic string has natural length 2 m and modulus of elastic
- January 2021, Mechanics 3 (M3), Q2 (10 marks): A particle P of mass m is at a distance x above the surface of the Earth. The Earth exerts a gravitational force on P. This force is directed towards the centre
- January 2021, Mechanics 3 (M3), Q5 (13 marks): A 10a P C B Figure 6 The fixed points, A and B, are a distance 10a apart, with B vertically above A. One end of a light elastic string, of natural length 2a and
- October 2020, Mechanics 3 (M3), Q5 (12 marks): A particle P of mass 0.5 kg moves along the positive x-axis in the positive x direction. At time t seconds, t 1, P is x metres from the origin O and is moving
- October 2020, Mechanics 3 (M3), Q6 (15 marks): A light elastic string has natural length a and modulus of elasticity 3 4 mg. A particle P of mass m is attached to one end of the string. The other end of the
- January 2020, Mechanics 3 (M3), Q6 (13 marks): A particle, P, of mass 0.4 kg is attached to the midpoint of a light elastic spring of natural length 0.8 m and modulus of elasticity 20 N. The ends of the spri
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