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Projectile motion: AQA A‑Level Physics questions

AQA A-Level Physics past-paper questions on 3.4.1.4 Projectile motion, 2008–2025, with mark schemes and examiner’s reports where available.

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4,856 questions

  1. Q06.3

    June 2025 · Paper 1

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  2. Q21

    June 2025 · Paper 1

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  3. Q04.1

    June 2025 · AS Paper 2

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  4. Q04.2

    June 2025 · AS Paper 2

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  5. Q04.3

    June 2025 · AS Paper 2

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  6. Q04.4

    June 2025 · AS Paper 2

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  7. Q13

    June 2025 · AS Paper 2

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  8. Q20

    June 2024 · Paper 1

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  9. Q21

    June 2024 · Paper 1

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  10. Q22

    June 2024 · Paper 1

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  11. Q11

    June 2024 · AS Paper 2

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  12. Q18

    June 2023 · Paper 1

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  13. Q23

    June 2023 · Paper 1

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  14. Q01.5

    June 2023 · Paper 3A

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  15. Q01.6

    June 2023 · Paper 3A

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  16. Q02.1

    June 2023 · AS Paper 2

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  17. Q02.2

    June 2023 · AS Paper 2

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  18. Q02.3

    June 2023 · AS Paper 2

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  19. Q24

    June 2022 · AS Paper 2

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  20. Q05.1

    November 2021 · Paper 1

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All 78 questions on Projectile motion, as a list
  1. June 2025, Paper 1, Q06.3 (3 marks): A player jumps up to head a football when it is 2.0 m above the ground. The initial velocity of the ball is 18 m s−1 at an angle of 48° to the horizontal. Figur
  2. June 2025, Paper 1, Q21 (1 mark): A skydiver is falling at a terminal velocity v1. When she is at a height h1 she opens her parachute. When she is at a height h2 she reaches a new terminal veloc
  3. June 2025, AS Paper 2, Q04.1 (2 marks): Determine D. [2 marks] D = m
  4. June 2025, AS Paper 2, Q04.2 (3 marks): The vertical displacement of the ball from the floor in the last image is 3.10 m. Determine h. [3 marks] h = m
  5. June 2025, AS Paper 2, Q04.3 (2 marks): The ball is again thrown by the robot. The initial speed of the ball is the same as in Figure 8. The angle for this throw is less than 73°. Another set of image
  6. June 2025, AS Paper 2, Q04.4 (3 marks): When air resistance is significant, the magnitude of the vertical component av of the acceleration of the ball varies throughout the flight. Discuss how air res
  7. June 2025, AS Paper 2, Q13 (1 mark): Two skydivers X and Y step out of a stationary hot-air balloon at the same time. Both skydivers reach terminal speed. mass of X = 120 kg mass of Y = 90 kg Which
  8. June 2024, Paper 1, Q20 (1 mark): A projectile is fired from ground level over horizontal ground. Its initial velocity is u at an angle θ to the horizontal. The range of the projectile is d. A s
  9. June 2024, Paper 1, Q21 (1 mark): A particle travelling horizontally at 1.0 × 107 m s−1 enters a region where it has a constant vertical acceleration of 4 × 1014 m s−2. What is the horizontal di
  10. June 2024, Paper 1, Q22 (1 mark): An object is thrown vertically upwards at time t = 0 The object reaches its maximum height when t = T and reaches its terminal speed on the way down. The magnit
  11. June 2024, AS Paper 2, Q11 (1 mark): The graph shows the variation with time of a quantity y for an object as it falls through the air. Which row gives y and the amount of air resistance? [1 mark]
  12. June 2023, Paper 1, Q18 (1 mark): A ball is kicked from point P on level ground. The ball initially travels at 45° to the horizontal. The ball reaches its maximum height after a time of 2.0 s. A
  13. June 2023, Paper 1, Q23 (1 mark): A sphere of mass m falls with speed v. The resistive force on the sphere is kv, where k is a constant. What is the terminal speed of the sphere? [1 mark] A mg k
  14. June 2023, Paper 3A, Q01.5 (2 marks): Determine, in mm s−1, the horizontal velocity of the ball between the second and third contacts of the ball with the floor. [2 marks] horizontal velocity = mm s
  15. June 2023, Paper 3A, Q01.6 (3 marks): Determine the time between the second and third contacts. Annotate Figure 3 to show your method. [3 marks] time = s
  16. June 2023, AS Paper 2, Q02.1 (1 mark): To measure x a student must locate a point P on the floor vertically below the end of the track. Describe a procedure to locate P. You may add detail to Figure
  17. June 2023, AS Paper 2, Q02.2 (3 marks): A ruler, graduated in mm, is used to determine x. The student places the ruler on the floor with the zero graduation aligned with P. The student determines x wh
  18. June 2023, AS Paper 2, Q02.3 (3 marks): The student obtains values of x corresponding to other values of h. Figure 6 shows his results. Figure 6 It can be shown that 2 20 7 x h H = Determine H. [3 mar
  19. June 2022, AS Paper 2, Q24 (1 mark): P and Q are two balls of the same diameter. P has a greater mass than Q. Both balls are projected at the same time from the top of a tall building that stands o
  20. November 2021, Paper 1, Q05.1 (2 marks): Show that the minimum speed of the ball in flight is about 15 m s−1. Explain your answer. [2 marks]
  21. November 2021, Paper 1, Q05.2 (2 marks): The ball just passes over the crossbar at a time t after it is kicked. Show that t must satisfy the following equation: 4.91t2 – 12.9t + 3.00 = 0 [2 marks]
  22. November 2021, Paper 1, Q05.3 (4 marks): There are two solutions to the equation 4.91t2 – 12.9t + 3.00 = 0 Discuss which of the two solutions is the time taken for the ball to pass over the crossbar fr
  23. November 2021, Paper 1, Q05.4 (1 mark): Another attempt is made to kick the ball over the crossbar. The initial velocity of the ball is the same as in the first attempt. This kick is made from a horiz
  24. November 2021, Paper 1, Q05.5 (5 marks): Figure 10 shows the variations with time of the vertical velocity of a ball with and without air resistance. Figure 10 Discuss the features of the motion of the
  25. November 2021, Paper 1, Q23 (1 mark): A coin is projected horizontally from the top of a desk. The diagram shows the coin at one point in its path. The air resistance is negligible. The arrows E, F
  26. November 2021, AS Paper 2, Q27 (1 mark): What is true about the accelerations of the spheres at the instant they are released? [1 mark] A The acceleration of X is less than that of Y. B The acceleratio
  27. November 2021, AS Paper 2, Q28 (1 mark): What is true about the terminal speeds? [1 mark] A The terminal speed of X is greater than that of Y. B The terminal speed of X is the same as that of Y. C The
  28. November 2020, AS Paper 1, Q03.2 (1 mark): Later, the golf ball lands in a sandpit. The golfer hits the ball, giving it an initial velocity u at 35° to the horizontal, as shown in Figure 4. The horizonta
  29. November 2020, AS Paper 1, Q03.3 (2 marks): The ball is travelling horizontally as it reaches X, as shown in Figure 5. Figure 5 Assume that weight is the only force acting on the ball when it is in the ai
  30. November 2020, AS Paper 1, Q03.4 (2 marks): Calculate the vertical distance of X above the initial position of the ball. [2 marks] vertical distance = m
  31. November 2020, AS Paper 1, Q03.5 (1 mark): Sketch on Figure 6 a possible trajectory for the ball. [1 mark]
  32. November 2020, AS Paper 1, Q03.6 (2 marks): Explain your reason for selecting this trajectory. [2 marks]
  33. November 2020, AS Paper 2, Q23 (1 mark): Two ball bearings X and Y are projected from horizontal ground at the same time. X has mass 2m and is projected vertically upwards with speed u. Y has mass m an
  34. June 2019, Paper 1, Q04.3 (2 marks): When the rope is cut, the counterweight rotates clockwise. When the beam is vertical it is prevented from rotating further. The projectile is then released hori
  35. June 2019, Paper 1, Q04.4 (3 marks): In another release, the sling is adjusted so that a projectile of the same mass is released just before the wooden beam is vertical. The projectile is not relea
  36. June 2019, AS Paper 2, Q25 (1 mark): Three objects U, V and W leave the edge of a bench at the same time. The objects fall in the same vertical plane with negligible air resistance. U is released f
  37. June 2018, Paper 1, Q23 (1 mark): A projectile is launched with a speed of 25 m s−1 at an angle of 35° to the horizontal, as shown in the diagram. Air resistance is negligible. What is the time
  38. June 2018, AS Paper 2, Q24 (1 mark): Two spheres, P and Q, have the same volume but P has a greater mass. The spheres fall in air at their terminal velocities vP and vQ respectively. Which row stat
  39. June 2017, Paper 1, Q21 (1 mark): Figure 12 shows the path of a projectile launched from ground level with a speed of 25 m s−1 at an angle of 42° to the horizontal. Figure 12 What is the horizon
  40. June 2017, AS Paper 2, Q28 (1 mark): Two identical balls, X and Y, are at the same height and a horizontal distance of 25 cm apart. X is projected horizontally with a velocity of 0.10 m s–1 towards
  41. June 2016, AS Paper 2, Q21 (1 mark): A golf ball was hit from the surface of the Moon. The time of flight was 4.0 s. What is the best estimate for the maximum height reached by the ball? [1 mark] a
  42. June 2016, AS Paper 2, Q22 (1 mark): A deep-space probe travelling forward at constant speed is briefly acted on by a force at right angles to its motion. What is the effect of this force on the fo
  43. Specimen, Paper 1, Q21 (1 mark): A ballbearing X of mass 2m is projected vertically upwards with speed u. A ballbearing Y of mass m is projected at 30º to the horizontal with speed 2u at the sa
  44. Specimen, Paper 2, Q01.3 (1 mark): Figure 1 shows a system that separates two minerals from the ore containing them using an electric field. Figure 1 The crushed particles of the two different mi
  45. June 2016, PHYA2 (old spec), Q2(a)(i) (2 marks): Show that the initial speed of the projectile is about 12 m s–1. [2 marks]
  46. June 2016, PHYA2 (old spec), Q2(a)(ii) (2 marks): Calculate the horizontal component of velocity as the projectile hits the ground. [2 marks] horizontal component of velocity = ________________________ m s–1
  47. June 2016, PHYA2 (old spec), Q2(b)(i) (2 marks): Calculate the maximum height above the starting point reached by the projectile. Give your answer to an appropriate number of significant figures. [2 marks] max
  48. June 2016, PHYA2 (old spec), Q2(b)(ii) (1 mark): Calculate the total horizontal distance travelled by the projectile from its starting point. [1 mark] horizontal distance = ___________________________ m
  49. June 2016, PHYA2 (old spec), Q2(c)(i) (1 mark): Mark with an A on the flight path in Figure 2 the position where the speed of the projectile is greatest. [1 mark]
  50. June 2016, PHYA2 (old spec), Q2(c)(ii) (1 mark): Mark with a B on the flight path in Figure 2 the position where the speed of the projectile is least. [1 mark]
  51. June 2016, PHYA2 (old spec), Q2(d) (2 marks): The projectile reaches its maximum height at time tH and finishes its flight at time tF. Draw on Figure 3 a graph to show how the magnitude of the vertical comp
  52. June 2016, PHYA2 (old spec), Q5 (6 marks): A fully-loaded lorry transporting water starts from rest and travels along a straight road. Figure 7 is a graph showing how the speed of the lorry varies with t
  53. June 2015, PHYA2 (old spec), Q1(c) (3 marks): In a game of tennis, a ball is hit horizontally at a height of 1.2 m and travels a horizontal distance of 5.0 m before reaching the ground. The ball is at rest
  54. June 2014, PHYA2 (old spec), Q2(a)(i) (3 marks): Calculate the time between positions A and B. [3 marks] time s
  55. June 2014, PHYA2 (old spec), Q2(a)(ii) (2 marks): The athlete is moving horizontally at A with a velocity of 8.5ms–1. Assume there is no air resistance. Calculate the horizontal displacement of the centre of ma
  56. June 2013, PHYA2 (old spec), Q2(a)(i) (2 marks): Calculate the time that the bullet is in the air before it hits the ground. time s (2 marks)
  57. June 2013, PHYA2 (old spec), Q2(a)(ii) (1 mark): Calculate the horizontal distance travelled by the bullet before it hits the ground. horizontal distance m (1 mark)
  58. June 2013, PHYA2 (old spec), Q2(b) (3 marks): Rifle B is fired and the bullet emerges with a smaller horizontal velocity than the bullet from rifle A. Explain why the horizontal distance travelled by bullet
  59. June 2013, PHYA2 (old spec), Q3(b)(i) (6 marks): Figure 4 shows the velocity-time graph for steel ball A. Figure 4 Explain the shape of the graph in Figure 4. Your account should include l how the velocity and
  60. June 2013, PHYA2 (old spec), Q3(b)(ii) (3 marks): On Figure 5, sketch the velocity-time graph you would expect to see for steel ball B. Assume air resistance is negligible. Figure 5 (3 marks) velocity 0 0 time
  61. January 2012, PHYA2 (old spec), Q3(b)(ii) (2 marks): State and explain one characteristic of the aircraft that limits its maximum horizontal velocity. (2 marks)
  62. January 2012, PHYA2 (old spec), Q3(b)(iii) (2 marks): On the axes below, sketch the velocity-time graph for the horizontal motion of the aircraft as it accelerates from zero to its maximum horizontal velocity. (2 m
  63. June 2011, PHYA2 (old spec), Q2(c) (2 marks): State and explain one reason why the card would give more reliable results than a table tennis ball for this experiment. (2 marks)
  64. January 2011, PHYA2 (old spec), Q2(a)(i) (2 marks): Show that the time taken for the cannonball to reach the water surface after being fired from the cannon was 3.7s. Assume the air resistance was negligible. (2
  65. January 2011, PHYA2 (old spec), Q2(a)(ii) (2 marks): Calculate the velocity at which the cannonball was fired. Give your answer to an appropriate number of significant figures. answer = ms–1 (2 marks)
  66. January 2011, PHYA2 (old spec), Q2(a)(iii) (2 marks): Calculate the vertical component of velocity just before the cannonball hit the ship. answer = ms–1 (2 marks)
  67. January 2011, PHYA2 (old spec), Q2(a)(iv) (4 marks): By calculation or scale drawing, find the magnitude and direction of the velocity of the cannonball just before it hit the ship. velocity = ms–1 direction = (4
  68. January 2010, PHYA2 (old spec), Q1(b)(i) (3 marks): Show that the ball would fall to the ground in about 0.7s. (3 marks)
  69. January 2010, PHYA2 (old spec), Q1(b)(ii) (2 marks): Calculate the horizontal distance that the ball will travel after it leaves the racket before hitting the ground. Assume that only gravity acts on the ball as i
  70. January 2010, PHYA2 (old spec), Q1(b)(iii) (2 marks): Explain why, in practice, the ball will not travel this far before hitting the ground. (2 marks)
  71. June 2009, PHYA2 (old spec), Q3(b) (6 marks): Figure 4 below shows how the velocity of the ball changed after it was released. Figure 4 velocity time after release νo 0 0 to Describe and explain how the acc
  72. January 2009, PHYA2 (old spec), Q4(a) (2 marks): Using two labelled arrows, show on Figure 3 the direction of the velocity, v, and the acceleration, a, of the ball when it is at point P. (2 marks)
  73. January 2009, PHYA2 (old spec), Q4(b)(i) (2 marks): Calculate the time taken from when the ball is thrown to when it first hits the ground. Assume air resistance is negligible. Answer s (2 marks)
  74. January 2009, PHYA2 (old spec), Q4(b)(ii) (2 marks): The ball hits the ground 27 m from the base of the tower. Calculate the speed at which the ball is thrown. Answer m s –1 (2 marks)
  75. January 2009, PA02 (2008 spec), Q1(b) (4 marks): 1 (b) State two forces that act on the falling object and explain how these forces cause the changes in acceleration described in part (a). (4 marks)
  76. January 2008, PA02 (2008 spec), Q4(a) (4 marks): (a) State and explain the motion of the dart and the dartboard, while the dart is in flight. You may be awarded additional marks to those shown in brackets for
  77. January 2008, PA02 (2008 spec), Q4(b) (5 marks): (b) Calculate (i) the time taken for the dart to hit the dartboard, (ii) the vertical component of the dart’s velocity just before it strikes the dartboard, (ii
  78. January 2008, PA02 (2008 spec), Q5(b) (2 marks): (b) In practice, the acceleration is unlikely to be constant. State a reason for this and explain what effect this will have on the minimum length of runway req

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