plumiDynamics of a particle moving in a straight line or plane: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on M1.4 Dynamics of a particle moving in a straight line or plane, 2019–2025, with its mark scheme and examiner’s report.
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All 41 questions on Dynamics of a particle moving in a straight line or plane, as a list
- June 2025, AS Mechanics 1 (M1), Q1 (6 marks): P km Q 3m 5u 2u Figure 1 Figure 1 shows two particles, P and Q, moving in the same direction along the same straight line on a smooth horizontal surface. Partic
- June 2025, AS Mechanics 1 (M1), Q6 (11 marks): A B θ Figure 4 Figure 4 shows a rough plane inclined at an angle θ to the horizontal, where tan θ = 3 4 The points A and B lie on a line of greatest slope of th
- June 2025, AS Mechanics 1 (M1), Q8 (17 marks): P (kM) Q (3M) Figure 5 Two small balls, P and Q, have masses kM and 3M respectively, where k < 3 The balls are attached to the ends of a light inextensible stri
- January 2025, AS Mechanics 1 (M1), Q3 (12 marks): P (3m kg) Q (m kg) 1.4 m Figure 1 A particle P of mass 3m kg and a particle Q of mass m kg are at rest on a rough horizontal surface. The distance between P and
- January 2025, AS Mechanics 1 (M1), Q7 (15 marks): A (2m) B (3m) 0.5 m Figure 4 One end of a light inextensible string is attached to a particle A of mass 2m. The other end is attached to a particle B of mass 3m
- October 2024, AS Mechanics 1 (M1), Q1 (6 marks): Particle A has mass 4m and particle B has mass 3m. The particles are moving in opposite directions along the same straight line on a smooth horizontal surface w
- October 2024, AS Mechanics 1 (M1), Q5 (13 marks): P (3 kg) Q (5 kg) 10 m Diagram not to scale Figure 3 Two particles, P and Q, have masses 3 kg and 5 kg respectively. The particles are connected by a light inex
- October 2024, AS Mechanics 1 (M1), Q7 (11 marks): 7 At time t = 0, a small ball A is projected vertically upwards with speed 8 m s –1 from a fixed point on horizontal ground. The ball hits the ground again for
- June 2024, AS Mechanics 1 (M1), Q1 (5 marks): Two particles, A and B, have masses m and 3m respectively. The particles are connected by a light inextensible string. Initially A and B are at rest on a smooth
- June 2024, AS Mechanics 1 (M1), Q3 (6 marks): Q (2 m) P (4 m) Figure 1 Two particles, P and Q, have masses 4m and 2m respectively. The particles are connected by a light inextensible string. A second light
- June 2024, AS Mechanics 1 (M1), Q5 (14 marks): A parachute is used to deliver a box of supplies. The parachute is attached to the box. • the parachute and box are dropped from rest from a helicopter that is
- June 2024, AS Mechanics 1 (M1), Q6 (12 marks): (m) θ Figure 3 A box of mass m lies on a rough horizontal plane. The box is pulled along the plane in a straight line at constant speed by a light rope. The rop
- June 2024, AS Mechanics 1 (M1), Q8 (15 marks): A (2m) B (3m) P h α Figure 4 One end of a light inextensible string is attached to a particle A of mass 2m. The other end of the string is attached to a particl
- January 2024, AS Mechanics 1 (M1), Q2 (6 marks): A 5 kg B x kg Figure 2 Figure 2 shows two particles, A and B, moving in opposite directions on a smooth horizontal surface. Particle A has mass 5 kg and particl
- October 2023, AS Mechanics 1 (M1), Q3 (10 marks): A hammer is used to hit a tent peg into soft ground. The hammer has mass 1.8 kg and the tent peg has mass 0.2 kg. The hammer and tent peg are both modelled as p
- October 2023, AS Mechanics 1 (M1), Q7 (13 marks): A (m) B (km) α Figure 4 Figure 4 shows a block A of mass m held at rest on a rough plane. The plane is inclined at an angle α to the horizontal and the coeffici
- June 2023, AS Mechanics 1 (M1), Q1 (7 marks): A particle A has mass 4 kg and a particle B has mass 2 kg. The particles move towards each other in opposite directions along the same straight line on a smooth
- June 2023, AS Mechanics 1 (M1), Q3 (8 marks): Two students observe a book of mass 0.2 kg fall vertically from rest from a shelf that is 1.5 m above the floor. Student A suggests that the book is modelled as
- June 2023, AS Mechanics 1 (M1), Q7 (11 marks): α Figure 4 A car of mass 1200 kg is towing a trailer of mass 600 kg up a straight road, as shown in Figure 4. The road is inclined at an angle α to the horizont
- January 2023, AS Mechanics 1 (M1), Q2 (8 marks): Two particles, A and B, are moving in a straight line in opposite directions towards each other on a smooth horizontal surface when they collide directly. Parti
- January 2023, AS Mechanics 1 (M1), Q7 (7 marks): Q P Figure 4 A simple lift operates by means of a vertical cable which is attached to the top of the lift. The lift has mass m A box Q is placed on the floor of
- January 2023, AS Mechanics 1 (M1), Q8 (15 marks): 18 N 30° 40° Figure 5 A parcel of mass 2 kg is pulled up a rough inclined plane by the action of a constant force. The force has magnitude 18 N and acts at an a
- October 2022, AS Mechanics 1 (M1), Q1 (5 marks): A railway truck S of mass 20 tonnes is moving along a straight horizontal track when it collides with another railway truck T of mass 30 tonnes which is at rest
- October 2022, AS Mechanics 1 (M1), Q4 (6 marks): Figure 3 Two children, Alan and Bhavana, are standing on the horizontal floor of a lift, as shown in Figure 3. The lift has mass 250 kg. The lift is raised vert
- October 2022, AS Mechanics 1 (M1), Q7 (13 marks): Q (m) P (m) Figure 4 A particle P of mass m is attached to one end of a light inextensible string. Another particle Q, also of mass m, is attached to the other
- June 2022, AS Mechanics 1 (M1), Q1 (4 marks): Two particles, P and Q, are moving towards each other in opposite directions along the same straight line when they collide directly. Immediately before the col
- June 2022, AS Mechanics 1 (M1), Q3 (7 marks): A tractor of mass 6 tonnes is dragging a large block of mass 2 tonnes along rough horizontal ground. The cable connecting the tractor to the block is horizontal
- January 2022, AS Mechanics 1 (M1), Q2 (7 marks): A particle P has mass km and a particle Q has mass m. The particles are moving towards each other in opposite directions along the same straight line when they
- January 2022, AS Mechanics 1 (M1), Q7 (13 marks): P(4m) Q(m) α Figure 4 A particle P of mass 4m lies on the surface of a fixed rough inclined plane. The plane is inclined to the horizontal at an angle α where t
- October 2021, AS Mechanics 1 (M1), Q2 (10 marks): A particle P of mass 2m is moving on a rough horizontal plane when it collides directly with a particle Q of mass 4m which is at rest on the plane. The speed of
- October 2021, AS Mechanics 1 (M1), Q7 (14 marks): P A (2m) B (3m) α Figure 4 One end of a light inextensible string is attached to a particle A of mass 2m. The other end of the string is attached to a particle
- June 2021, AS Mechanics 1 (M1), Q1 (7 marks): A particle P has mass 3m and a particle Q has mass 5m. The particles are moving towards each other in opposite directions along the same straight line on a smoo
- June 2021, AS Mechanics 1 (M1), Q4 (6 marks): Figure 1 Figure 1 shows a large bucket used by a crane on a building site to move materials between the ground and the top of the building. The mass of the buck
- June 2021, AS Mechanics 1 (M1), Q6 (13 marks): A fixed rough plane is inclined at an angle θ to the horizontal, where tan θ = 5 12 A particle of mass 6 kg is projected with speed 5 m s –1 from a point A on t
- January 2021, AS Mechanics 1 (M1), Q2 (6 marks): Two particles, P and Q, have masses 2m and m respectively. The particles are moving towards each other in opposite directions along the same straight line on a
- January 2021, AS Mechanics 1 (M1), Q8 (17 marks): A (2 kg) d m h m B (4 kg) α Figure 3 Two particles, A and B, have masses 2 kg and 4 kg respectively. The particles are connected by a light inextensible string.
- October 2020, AS Mechanics 1 (M1), Q1 (7 marks): Two particles, P and Q, with masses m and 2m respectively, are moving in the same direction along the same straight line when they collide directly. Immediately
- October 2020, AS Mechanics 1 (M1), Q6 (8 marks): α Figure 3 A railway engine of mass 1500 kg is attached to a railway truck of mass 500 kg by a straight rigid coupling. The engine pushes the truck up a straigh
- October 2020, AS Mechanics 1 (M1), Q7 (9 marks): A (5m) B (3m) Figure 4 One end of a light inextensible string is attached to a particle A of mass 5m. The other end of the string is attached to a particle B of
- January 2020, AS Mechanics 1 (M1), Q1 (8 marks): Two particles, P and Q, of mass m1 and m2 respectively, are moving on a smooth horizontal plane. The particles are moving towards each other in opposite directi
- January 2020, AS Mechanics 1 (M1), Q7 (18 marks): 2 m 1.4 m P A (4 kg) B (3 kg) Figure 3 A particle A of mass 4 kg is held at rest on a rough horizontal table. Particle A is attached to one end of a string that
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