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Vectors and components: OCR A‑Level Physics B questions

OCR A-Level Physics B past-paper questions on 4.2.1 Vectors and components, 2016–2025, with mark schemes and examiner’s reports where available.

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1,881 questions

  1. Q31(a)(ii)

    June 2025 · Paper 1

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  2. Q6

    June 2025 · AS Paper 1

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  3. Q21(a)

    June 2025 · AS Paper 1

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  4. Q1(a)(i)

    June 2024 · Paper 2

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  5. Q18

    June 2024 · AS Paper 1

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  6. The start of question 3

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  7. Q8(a)

    June 2024 · AS Paper 2

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  8. Q2

    June 2023 · Paper 1

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  9. Q12

    June 2023 · AS Paper 1

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  10. Q21(a)

    June 2023 · AS Paper 1

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  11. Q21(b)

    June 2023 · AS Paper 1

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  12. Q21(c)

    June 2023 · AS Paper 1

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  13. Q1(a)

    June 2023 · AS Paper 2

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  14. Q8(b)(ii)

    June 2022 · Paper 2

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  15. Q22(a)

    June 2022 · AS Paper 1

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  16. Q22(b)

    June 2022 · AS Paper 1

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  17. Q22(c)

    June 2022 · AS Paper 1

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  18. The start of question 1

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  19. Q7(b)(i)

    June 2022 · AS Paper 2

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  20. Q7(b)(ii)

    June 2022 · AS Paper 2

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All 42 questions on Vectors and components, as a list
  1. June 2025, Paper 1, Q31(a)(ii) (2 marks): Use the grid in Fig 31.2 to draw the vectors for the horizontal and vertical components of the base jumper’s velocity 1.5 s after they have left the top of the
  2. June 2025, AS Paper 1, Q6 (1 mark): Which of the following quantities are vectors? 1 displacement 2 speed 3 impulse A 1 only B 2 only C 1 and 3 only D All three Your answer [1]
  3. June 2025, AS Paper 1, Q21(a) (2 marks): Calculate the horizontal component of the tension T in the string. Horizontal component = N [2]
  4. June 2024, Paper 2, Q1(a)(i) (2 marks): Calculate the vertical component of the tension in the rope. vertical component = N [2]
  5. June 2024, AS Paper 1, Q18 (1 mark): Which diagram shows the addition of three forces that have no resultant force? A B C D Your answer [1]
  6. June 2024, AS Paper 2, Q3(b) (3 marks): On Fig. 3.1 draw arrows to represent the horizontal and vertical components of the ball’s velocity at time 2 s and use the diagram to calculate the magnitude of
  7. June 2024, AS Paper 2, Q8(a) (3 marks): The 500 g trolley moves with constant velocity along the slope when the 50 g mass is removed. Calculate the component of the weight of the 500 g trolley that ac
  8. June 2023, Paper 1, Q2 (1 mark): Two scalar quantities are: A distance and acceleration B mass and potential energy C velocity and momentum D work done and force Your answer [1]
  9. June 2023, AS Paper 1, Q12 (1 mark): A boat moves forwards at 5 m s–1 and is carried by the current at 3 m s–1 in a perpendicular direction. Calculate the resultant speed. 5 m s–1 3 m s–1 2.8 m s–1
  10. June 2023, AS Paper 1, Q21(a) (2 marks): The thrust force and the drag force on the rocket are shown in the diagram. State the resultant of these two forces. [2]
  11. June 2023, AS Paper 1, Q21(b) (2 marks): Calculate the magnitude of the horizontal component of this resultant force. force = kN [2]
  12. June 2023, AS Paper 1, Q21(c) (2 marks): Explain why the weight force has no effect on the horizontal acceleration. [2]
  13. June 2023, AS Paper 2, Q1(a) (2 marks): Write down the horizontal and vertical components of velocity of the ball at the instant it is thrown. horizontal component, uH = m s–1 vertical component, uV =
  14. June 2022, Paper 2, Q8(b)(ii) (4 marks): Consider the situation represented in Fig. 8.2. An electron is travelling at 5.0 × 105 m s–1 at an angle of 25° to the direction of the magnetic field of streng
  15. June 2022, AS Paper 1, Q22(a) (1 mark): What is the magnitude of the vertical component of the lift force, L? magnitude of L = N [1]
  16. June 2022, AS Paper 1, Q22(b) (2 marks): The horizontal component of the tension is 5.8 N. Calculate the magnitude of the tension. tension T = N [2] The wind changes such that the direction of force L
  17. June 2022, AS Paper 1, Q22(c) (2 marks): Describe the changes in tension needed to keep the kite in equilibrium. [2]
  18. June 2022, AS Paper 2, Q1(c) (2 marks): Calculate the angle θ with the horizontal at which the fragment hits the ground. angle = ° [2]
  19. June 2022, AS Paper 2, Q7(b)(i) (1 mark): Calculate the values of the velocity components of the corpuscle in the x- and y-directions just before it enters the glass block. component parallel to the vac
  20. June 2022, AS Paper 2, Q7(b)(ii) (4 marks): As the corpuscle enters the glass, due to an interaction with the vacuum-glass boundary it experiences a force into the glass perpendicular to the boundary, as
  21. November 2021, Paper 1, Q10 (1 mark): A car of mass 1100 kg moves up a hill of gradient 25°. F 25° The force F is a component of the weight of the car. What is the value of F, to 2 significant figur
  22. November 2021, AS Paper 2, Q6(b) (2 marks): Fig. 6.2 shows the trajectory of the lunar module as it left the surface of the Moon. 20 lunar module vertical enters orbit displacement around Moon from surfac
  23. November 2020, Paper 1, Q7 (1 mark): Which vector alters only the magnitude of the velocity? Your answer [1]
  24. November 2020, Paper 1, Q8 (1 mark): Which vector alters only the direction of the velocity? Your answer [1]
  25. November 2020, Paper 1, Q37(a)(ii) (1 mark): The initial horizontal and vertical components of the velocity are both 100 m s−1. Show that the size of the initial projection velocity v is about 140 m s−1. [
  26. June 2019, Paper 3, Q2(a)(i) (2 marks): Explain why, for small angle θ of deflection, F can be given by the expression F ≈ – Tsx L . [2]
  27. June 2019, AS Paper 1, Q17 (1 mark): An aircraft is flying with a velocity of 35 m s–1 westwards, relative to the air. A wind from the south pushes the aircraft northwards at a velocity of 12 m s–1
  28. June 2019, AS Paper 2, Q5(a) (3 marks): Calculate the acceleration a of the trolley along the ramp. a = m s–2 [3]
  29. June 2018, Paper 1, Q5 (1 mark): A boat travels eastwards with a velocity of 12 m s−1. 5 A current from the south pushes the boat northwards at a velocity of 5 m s−1. 5 m s–1 12 m s–1 What is t
  30. June 2018, Paper 1, Q25 (1 mark): The diagram shows two boats P and Q sailing at constant velocity towards the finish line. finish line P 30° 7 m s–1 5 m s–1 45° Q 500 m Which statement is corre
  31. June 2018, Paper 1, Q41(b)(i) (4 marks): Show that the resultant force F on the third proton is about 4 # 10−10 N in the direction shown. Explain your reasoning. You may include a diagram in your answe
  32. June 2018, AS Paper 1, Q15 (1 mark): A force vector, F, is resolved into a vertical component Fy and a horizontal component Fx. The diagram is not to scale. Fy F 55° Fx = 5.0 N What is the magnitud
  33. June 2018, AS Paper 1, Q22 (3 marks): Tom runs on the circular track of radius 24 m shown in Fig. 22. He starts at point X and stops at point Y, which is one-quarter of the way around the track. Y N
  34. June 2018, AS Paper 1, Q23(a) (1 mark): Fig. 23 shows a weight vector W acting on a climber on an ice slope. The slope is at 50° to the horizontal. climber slope 50° W Fig. 23 Add to Fig. 23 two vecto
  35. June 2018, AS Paper 1, Q23(b) (2 marks): The climber of weight W = 600 N is held in equilibrium by a rope parallel to the slope. Calculate the magnitude of the tension in the rope. magnitude of tension
  36. June 2017, Paper 1, Q1 (1 mark): Which pair contains one vector and one scalar quantity? A velocity acceleration B displacement force C kinetic energy work done D momentum distance Your answer
  37. June 2017, Paper 1, Q11 (1 mark): The three forces in this vector diagram act in one plane on an object P. 3 N P 4 N 6 N What is the magnitude and direction of the resultant? A 1 N 5 B 1 N 3 C 1
  38. June 2017, Paper 2, Q3(c) (4 marks): A constant force of 300 N strikes the sail of a land yacht at an angle of 50° to the direction of motion of the vehicle as shown in Fig. 3.2. The mass of the ya
  39. June 2017, AS Paper 1, Q3 (1 mark): The diagram shows a block with weight W at rest on an inclined surface. The frictional force, F, prevents the block from sliding. N is the normal contact force.
  40. June 2016, AS Paper 1, Q13 (1 mark): A boat is travelling eastwards across the sea with a velocity of 12 m s–1. A wind from the south pushes the boat northwards at a velocity of 5 m s–1. 5 m s–1 12
  41. June 2016, AS Paper 1, Q25(b) (2 marks): Calculate the magnitude of T2 when θ = 35°. T2 = N [2]
  42. June 2016, AS Paper 1, Q25(c) (1 mark): Calculate the magnitude of H when θ = 35°. H = N [1]

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