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Kinematics: Edexcel A‑Level Maths questions

Every Edexcel A-Level Maths exam question on M.7 Kinematics, 2019–2025, with its mark scheme and examiner’s report.

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447 questions

  1. Q1

    June 2025 · Mechanics

    The whole paper ↗
    June 2025 Mechanics, question 1: A car moves in a straight line along a horizontal road with constant acceleration 2 m s –2 The car is moving with speed 15 m s –1 in the direction of the accele
  2. Q2

    June 2025 · Mechanics

    The whole paper ↗
    June 2025 Mechanics, question 2: 5 N α B (2 kg) Figure 2 A small box B of mass 2 kg is dragged in a straight line, along a rough horizontal plane, at a constant speed by a force of magnitude 5
  3. Q3

    June 2025 · Mechanics

    The whole paper ↗
    June 2025 Mechanics, question 3: [In this question, i and j are horizontal unit vectors due east and due north respectively.] A particle P of mass 0.5 kg moves with constant acceleration (2i –
  4. Q4

    June 2025 · Mechanics

    The whole paper ↗
    June 2025 Mechanics, question 4: [In this question, position vectors are given relative to a fixed origin O.] At time t seconds, where t > 0, the position vector of a particle P is r metres whe
  5. Q5

    June 2025 · Mechanics

    The whole paper ↗
    June 2025 Mechanics, question 5: O 14 m s –1 θ H m N 40 m A Figure 3 A small stone is projected with speed 14 m s –1 from a point O on the top of a cliff. The point O is H metres vertically abo
  6. Q1

    June 2025 · AS Mechanics

    The whole paper ↗
    June 2025 AS Mechanics, question 1: 0 5 0 T speed (m s–1) time (s) Figure 1 Figure 1 shows a sketch of the speed‑time graph for a model of the motion of a runner travelling along a straight horizo
  7. Q4

    June 2025 · AS Mechanics

    The whole paper ↗
    June 2025 AS Mechanics, question 4: In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A fixed point O lies on a str
  8. Q2

    June 2024 · Mechanics

    The whole paper ↗
    June 2024 Mechanics, question 2: 0 0 10 4 U 24 18 t (s) speed (m s –1) Figure 2 Figure 2 shows a speed‑time graph for a model of the motion of an athlete running a 200 m race in 24 s. The athle
  9. Q4

    June 2024 · Mechanics

    The whole paper ↗
    June 2024 Mechanics, question 4: In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. [In this question, i is a uni
  10. Q5

    June 2024 · Mechanics

    The whole paper ↗
    June 2024 Mechanics, question 5: α 35 m s –1 A O Figure 4 At time t = 0, a small stone is projected with velocity 35 m s –1 from a point O on horizontal ground. The stone is projected at an ang
  11. Q1

    June 2024 · AS Mechanics

    The whole paper ↗
    June 2024 AS Mechanics, question 1: speed (m s−1) time (seconds) 20 5 5 30 O Figure 1 Figure 1 shows the speed-time graph for the journey of a car moving in a long queue of traffic on a straight h
  12. Q2

    June 2024 · AS Mechanics

    The whole paper ↗
    June 2024 AS Mechanics, question 2: In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. A particle is moving along a straight
  13. Q1

    June 2023 · Mechanics

    The whole paper ↗
    June 2023 Mechanics, question 1: A car is initially at rest on a straight horizontal road. The car then accelerates along the road with a constant acceleration of 3.2 m s –2 Find (a) the speed
  14. Q3

    June 2023 · Mechanics

    The whole paper ↗
    June 2023 Mechanics, question 3: At time t seconds, where t  0, a particle P has velocity v m s –1 where v i j ( ) ( ) t t t 2 2 3 7 2 3 Find (a) the speed of P at time t = 0 (3) (b) the value
  15. Q4

    June 2023 · Mechanics

    The whole paper ↗
    June 2023 Mechanics, question 4: [In this question, i and j are horizontal unit vectors and position vectors are given relative to a fixed origin O] A particle P is moving on a smooth horizonta
  16. Q5

    June 2023 · Mechanics

    The whole paper ↗
    June 2023 Mechanics, question 5: A O 28 m s –1 20 m 40 m α Figure 2 A small ball is projected with speed 28 m s –1 from a point O on horizontal ground. After moving for T seconds, the ball pass
  17. Q1

    June 2023 · AS Mechanics

    The whole paper ↗
    June 2023 AS Mechanics, question 1: (P) (S) 27.5 0 5 4 X Velocity (m s –1) Time (s) Figure 1 Two children, Pat (P) and Sam (S), run a race along a straight horizontal track. Both children start fr
  18. Q2

    June 2023 · AS Mechanics

    The whole paper ↗
    June 2023 AS Mechanics, question 2: A small stone is projected vertically upwards with speed 39.2 m s –1 from a point O. The stone is modelled as a particle moving freely under gravity from when i
  19. Q3

    June 2023 · AS Mechanics

    The whole paper ↗
    June 2023 AS Mechanics, question 3: In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A fixed point O lies on a str
  20. Q1

    June 2022 · Mechanics

    The whole paper ↗
    June 2022 Mechanics, question 1: [In this question, position vectors are given relative to a fixed origin.] At time t seconds, where t > 0 , a particle P has velocity v m s –1 where v = 3t 2i –
All 37 questions on Kinematics, as a list
  1. June 2025, Mechanics, Q1 (4 marks): A car moves in a straight line along a horizontal road with constant acceleration 2 m s –2 The car is moving with speed 15 m s –1 in the direction of the accele
  2. June 2025, Mechanics, Q2 (10 marks): 5 N α B (2 kg) Figure 2 A small box B of mass 2 kg is dragged in a straight line, along a rough horizontal plane, at a constant speed by a force of magnitude 5
  3. June 2025, Mechanics, Q3 (8 marks): [In this question, i and j are horizontal unit vectors due east and due north respectively.] A particle P of mass 0.5 kg moves with constant acceleration (2i –
  4. June 2025, Mechanics, Q4 (9 marks): [In this question, position vectors are given relative to a fixed origin O.] At time t seconds, where t > 0, the position vector of a particle P is r metres whe
  5. June 2025, Mechanics, Q5 (8 marks): O 14 m s –1 θ H m N 40 m A Figure 3 A small stone is projected with speed 14 m s –1 from a point O on the top of a cliff. The point O is H metres vertically abo
  6. June 2025, AS Mechanics, Q1 (4 marks): 0 5 0 T speed (m s–1) time (s) Figure 1 Figure 1 shows a sketch of the speed‑time graph for a model of the motion of a runner travelling along a straight horizo
  7. June 2025, AS Mechanics, Q4 (10 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A fixed point O lies on a str
  8. June 2024, Mechanics, Q2 (8 marks): 0 0 10 4 U 24 18 t (s) speed (m s –1) Figure 2 Figure 2 shows a speed‑time graph for a model of the motion of an athlete running a 200 m race in 24 s. The athle
  9. June 2024, Mechanics, Q4 (11 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. [In this question, i is a uni
  10. June 2024, Mechanics, Q5 (12 marks): α 35 m s –1 A O Figure 4 At time t = 0, a small stone is projected with velocity 35 m s –1 from a point O on horizontal ground. The stone is projected at an ang
  11. June 2024, AS Mechanics, Q1 (6 marks): speed (m s−1) time (seconds) 20 5 5 30 O Figure 1 Figure 1 shows the speed-time graph for the journey of a car moving in a long queue of traffic on a straight h
  12. June 2024, AS Mechanics, Q2 (7 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. A particle is moving along a straight
  13. June 2023, Mechanics, Q1 (3 marks): A car is initially at rest on a straight horizontal road. The car then accelerates along the road with a constant acceleration of 3.2 m s –2 Find (a) the speed
  14. June 2023, Mechanics, Q3 (9 marks): At time t seconds, where t  0, a particle P has velocity v m s –1 where v i j ( ) ( ) t t t 2 2 3 7 2 3 Find (a) the speed of P at time t = 0 (3) (b) the value
  15. June 2023, Mechanics, Q4 (10 marks): [In this question, i and j are horizontal unit vectors and position vectors are given relative to a fixed origin O] A particle P is moving on a smooth horizonta
  16. June 2023, Mechanics, Q5 (11 marks): A O 28 m s –1 20 m 40 m α Figure 2 A small ball is projected with speed 28 m s –1 from a point O on horizontal ground. After moving for T seconds, the ball pass
  17. June 2023, AS Mechanics, Q1 (8 marks): (P) (S) 27.5 0 5 4 X Velocity (m s –1) Time (s) Figure 1 Two children, Pat (P) and Sam (S), run a race along a straight horizontal track. Both children start fr
  18. June 2023, AS Mechanics, Q2 (7 marks): A small stone is projected vertically upwards with speed 39.2 m s –1 from a point O. The stone is modelled as a particle moving freely under gravity from when i
  19. June 2023, AS Mechanics, Q3 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A fixed point O lies on a str
  20. June 2022, Mechanics, Q1 (8 marks): [In this question, position vectors are given relative to a fixed origin.] At time t seconds, where t > 0 , a particle P has velocity v m s –1 where v = 3t 2i –
  21. June 2022, Mechanics, Q3 (9 marks): [In this question, i and j are horizontal unit vectors.] A particle P of mass 4 kg is at rest at the point A on a smooth horizontal plane. At time t = 0, two fo
  22. June 2022, Mechanics, Q5 (12 marks): α B A 120 m Figure 3 A golf ball is at rest at the point A on horizontal ground. The ball is hit and initially moves at an angle α to the ground. The ball first
  23. June 2022, AS Mechanics, Q1 (7 marks): The point A is 1.8 m vertically above horizontal ground. At time t = 0, a small stone is projected vertically upwards with speed U m s−1 from the point A. At ti
  24. June 2022, AS Mechanics, Q2 (8 marks): A train travels along a straight horizontal track from station P to station Q. In a model of the motion of the train, at time t = 0 the train starts from rest a
  25. June 2022, AS Mechanics, Q3 (9 marks): A fixed point O lies on a straight line. A particle P moves along the straight line. At time t seconds, t  0, the distance, s metres, of P from O is given by s
  26. November 2021, Mechanics, Q1 (4 marks): A particle P moves with constant acceleration (2i − 3j) m s−2 At time t = 0, P is moving with velocity 4i m s−1 (a) Find the velocity of P at time t = 2 seconds
  27. November 2021, Mechanics, Q4 (10 marks): 70 m 65 m s−1 A N α O Figure 3 A small stone is projected with speed 65 m s−1 from a point O at the top of a vertical cliff. Point O is 70 m vertically above th
  28. November 2021, Mechanics, Q5 (14 marks): At time t seconds, a particle P has velocity v m s−1, where v = 3t 1 2 i − 2t j t > 0 (a) Find the acceleration of P at time t seconds, where t > 0 (2) (b) Find
  29. November 2021, AS Mechanics, Q1 (7 marks): At time t = 0, a small stone is thrown vertically upwards with speed 14.7 m s−1 from a point A. At time t = T seconds, the stone passes through A, moving downwa
  30. November 2021, AS Mechanics, Q2 (10 marks): A particle P moves along a straight line. At time t seconds, the velocity v m s−1 of P is modelled as v = 10t − t 2 − k t  0 where k is a constant. (a) Find th
  31. November 2020, Mechanics, Q2 (8 marks): A particle P moves with acceleration (4i − 5j) m s−2 At time t = 0, P is moving with velocity (−2i + 2j) m s−1 (a) Find the velocity of P at time t = 2 seconds.
  32. November 2020, Mechanics, Q3 (12 marks): (i) At time t seconds, where t  0 , a particle P moves so that its acceleration a m s−2 is given by a = (1 − 4t) i + (3 − t2) j At the instant when t = 0, the
  33. November 2020, Mechanics, Q5 (11 marks): N 45° O 25 m A U m s−1 100 m Figure 2 A small ball is projected with speed U m s−1 from a point O at the top of a vertical cliff. The point O is 25 m vertically
  34. November 2020, AS Mechanics, Q1 (12 marks): At time t = 0, a small ball is projected vertically upwards with speed U m s–1 from a point A that is 16.8 m above horizontal ground. The speed of the ball at t
  35. November 2020, AS Mechanics, Q3 (9 marks): A particle P moves along a straight line such that at time t seconds, t  0, after leaving the point O on the line, the velocity, v m s–1, of P is modelled as v
  36. June 2019, AS Mechanics, Q1 (10 marks): At time t = 0, a parachutist falls vertically from rest from a helicopter which is hovering at a height of 550 m above horizontal ground. The parachutist, who i
  37. June 2019, AS Mechanics, Q3 (8 marks): A particle, P, moves along a straight line such that at time t seconds, t . 0, the velocity of P, v m s–1, is modelled as v = 12 + 4t – t2 Find (a) the magnitud

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