plumiKinematics 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 M2.1 Kinematics 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 34 questions on Kinematics of a particle moving in a straight line or plane, as a list
- June 2025, Mechanics 2 (M2), Q1 (9 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. A particle P moves along the x-axis. A
- June 2025, Mechanics 2 (M2), Q2 (7 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. [In this question, i and j are horizon
- June 2025, Mechanics 2 (M2), Q7 (10 marks): A small stone is projected from a point O on horizontal ground. The stone is projected with speed 20 m s –1 at an angle α to the ground. When the stone is 11 m
- June 2025 (A), Mechanics 2 (M2), Q1 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A particle P moves on the x‑a
- June 2025 (A), Mechanics 2 (M2), Q3 (10 marks): [In this question, the unit vectors i and j are in a vertical plane, i being horizontal and j being vertically upwards.] The point A is on horizontal ground. A
- January 2025, Mechanics 2 (M2), Q3 (11 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. At time t = 0, a particle P i
- January 2025, Mechanics 2 (M2), Q4 (8 marks): [In this question i and j are unit vectors, with i horizontal and j vertically upwards.] B A C 10 m 3 15 1 i j ms Diagram not to scale x y i j ms 1 Figure 3 The
- October 2024, Mechanics 2 (M2), Q1 (10 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. At time t seconds, t0, a par
- October 2024, Mechanics 2 (M2), Q5 (12 marks): The fixed points X and Y lie on horizontal ground. At time t = 0, a particle P is projected from X with speed u ms−1at angle θ to the ground. Particle P moves f
- June 2024, Mechanics 2 (M2), Q2 (13 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. A particle P is moving in a straight l
- June 2024, Mechanics 2 (M2), Q7 (11 marks): [In this question, the unit vectors i and j are in a vertical plane, i being horizontal and j being vertically upwards.] O 80 m (2 ui + uj) m s –1 Figure 3 A go
- January 2024, Mechanics 2 (M2), Q1 (8 marks): A particle P moves along a straight line. The fixed point O is on the line. At time t seconds, t > 0, the displacement of P from O is x metres, where x t t t 2
- January 2024, Mechanics 2 (M2), Q8 (11 marks): [In this question i and j are unit vectors, with i horizontal and j vertical.] A (4i + 7j) m s –1 B Figure 6 The fixed points A and B lie on horizontal ground.
- October 2023, Mechanics 2 (M2), Q1 (7 marks): At time t seconds, t > 0, a particle P is at the point with position vector r m, where r i j t t t t 4 2 2 8 6 2 3 2 (a) Find the velocity of P when
- October 2023, Mechanics 2 (M2), Q4 (12 marks): [In this question i and j are unit vectors, with i horizontal and j vertical.] A (4i + 4j) m s –1 B Figure 3 The fixed points A and B lie on horizontal ground.
- June 2023, Mechanics 2 (M2), Q2 (10 marks): [In this question, the perpendicular unit vectors i and j are in a horizontal plane.] In this question you must show all stages of your working. Solutions relyi
- June 2023, Mechanics 2 (M2), Q7 (15 marks): [In this question, the perpendicular unit vectors i and j are in a vertical plane with i being horizontal and j being vertically upwards.] B A 20 m (3i + 2j) ms
- January 2023, Mechanics 2 (M2), Q4 (10 marks): [In this question, the perpendicular unit vectors i and j are in a horizontal plane.] A particle Q of mass 1.5 kg is moving on a smooth horizontal plane under t
- January 2023, Mechanics 2 (M2), Q8 (12 marks): A particle P is projected from a fixed point O. The particle is projected with speed u m s–1 at angle α above the horizontal. The particle moves freely under gr
- October 2022, Mechanics 2 (M2), Q4 (10 marks): At time t seconds (0 t < 5), a particle P has velocity v m s –1, where v i j 5 2 3 2 t t t When t = λ, particle P is moving in a direction parallel to the
- October 2022, Mechanics 2 (M2), Q8 (14 marks): [In this question, the unit vectors i and j are in a vertical plane, with i being horizontal and j being vertically upwards.] A B C α 15 m U m s –1 (24i + 7j)
- June 2022, Mechanics 2 (M2), Q1 (8 marks): At time t seconds, t 0 , a particle P has position vector r metres with respect to a fixed origin O, where r = (t 3 – 8t)i + 1 3 2 3 2 t t t − + j (a
- January 2022, Mechanics 2 (M2), Q3 (9 marks): A particle P of mass 0.25 kg is moving on a smooth horizontal surface under the action of a single force, F newtons. At time t seconds (t 0) , the velocity v
- January 2022, Mechanics 2 (M2), Q7 (16 marks): A particle P is projected from a fixed point O on horizontal ground. The particle is projected with speed u at an angle α above the horizontal. At the instant w
- October 2021, Mechanics 2 (M2), Q3 (9 marks): A particle P moves on the x‑axis. At time t = 0, P is instantaneously at rest at O. At time t seconds, t > 0, the x coordinate of P is given by x t t t = − + 2
- October 2021, Mechanics 2 (M2), Q8 (14 marks): O B A 10 m s–1 18 m s–1 h m Figure 4 The fixed point A is h metres vertically above the point O that is on horizontal ground. At time t = 0, a particle P is pro
- June 2021, Mechanics 2 (M2), Q2 (8 marks): A particle P of mass 1.5 kg moves under the action of a single force F newtons. At time t seconds, t 0, P has velocity v m s–1, where v = (5t2 – t3)i + (2t3 –
- June 2021, Mechanics 2 (M2), Q7 (11 marks): [In this question, the unit vectors i and j are in a vertical plane, i being horizontal and j being vertically upwards.] (6i + 12j) m s–1 A B Figure 5 A small
- January 2021, Mechanics 2 (M2), Q5 (11 marks): At time t seconds, t 0, a particle P has velocity v m s–1, where v = (5t 2 – 12t + 15)i + (t 2 + 8t – 10)j When t = 0, P is at the origin O. At time T seconds
- January 2021, Mechanics 2 (M2), Q7 (12 marks): A B 40 m O θ° 12 m s–1 20 m Figure 4 The fixed point A is 20 m vertically above the point O which is on horizontal ground. At time t = 0, a particle P is projec
- October 2020, Mechanics 2 (M2), Q5 (10 marks): At time t seconds (t 0), a particle P has velocity v m s–1, where v = (3t2 – 9t + 6)i + (t2 + t – 6) j (a) Find the acceleration of P when t = 3 When t = 0, P
- October 2020, Mechanics 2 (M2), Q8 (13 marks): [In this question, the unit vectors i and j are in a vertical plane, with i being horizontal and j being vertically upwards.] A O ( pi + qj) m s–1 (8i – 12j) m
- January 2020, Mechanics 2 (M2), Q5 (10 marks): At time t seconds (t . 0), a particle P has velocity v m s–1, where v = (3t2 – 4)i + (2t – 4)j When t = 0, P is at the fixed point O. (a) Find the acceleration
- January 2020, Mechanics 2 (M2), Q7 (14 marks): B A ȕ Į 25 m s–1 15 m s–1 Figure 5 At time t = 0 a particle P is projected from a fixed point A on horizontal ground. The particle is projected with speed 25 m
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