plumiMotion graphs and constant acceleration: OCR A‑Level Physics B questions
OCR A-Level Physics B past-paper questions on 4.2.4 Motion graphs and constant acceleration, 2016–2025, with mark schemes and examiner’s reports where available.
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Q31(a)(i)
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All 62 questions on Motion graphs and constant acceleration, as a list
- June 2025, Paper 1, Q31(a)(i) (2 marks): Calculate the vertical component of the velocity 1.5 s after the base jumper leaves the edge of the cliff. vertical component = m s–1 [2]
- June 2025, Paper 1, Q34(a)(ii) (2 marks): Show that the change of displacement over the initial 0.02 s is approximately 0.0008 m. [2]
- June 2025, AS Paper 1, Q12 (1 mark): The graph below shows the journey of a car. The points P–W represent the times when the car changes its speed or accelerates. 40 R S 30 Q U Velocity / m s–1 20
- June 2025, AS Paper 2, Q2(b) (1 mark): The mass of the trolley is 750 g. With 200 g placed on top of it, the mean time taken for the trolley to travel 1.00 m from rest is 2.2 s. Show that the acceler
- June 2025, AS Paper 2, Q4 (4 marks): Fig. 4.1 shows apparatus used to determine the acceleration of free fall. A millisecond timer begins timing when the steel ball is released from the electromagn
- June 2024, Paper 1, Q18 (1 mark): A car comes to rest after the brakes have been applied. The graph shows how the velocity of the car varies with time. 15 velocity / m s–1 0 20 0 time / s The ma
- June 2024, Paper 1, Q33(a) (1 mark): In one experiment the ball falls through a height of 0.75 m in 0.41 s. Calculate the acceleration due to gravity based on this result. acceleration = m s–2 [1]
- June 2024, Paper 1, Q33(b) (2 marks): In another experiment the time t taken for the steel ball to fall from the electromagnet to the trap-door is measured for several values of s. A graph of t 2 ag
- June 2024, Paper 3, Q4(c)(i) (1 mark): Calculate the maximum initial velocity of the first rider, assuming it comes to rest immediately following the collision. maximum velocity = m s–1 [1]
- June 2024, Paper 3, Q4(c)(ii) (3 marks): The graph suggests there is a drag or frictional force acting on the rider as it decelerates. Use the graph to estimate the magnitude of this force. magnitude o
- June 2024, Paper 3, Q4(d) (2 marks): The DART spacecraft did not have to contend with atmospheric drag. The student decides to investigate the effect of drag on velocity of the rider following a co
- June 2024, AS Paper 1, Q19 (1 mark): Which graph shows the relationship between the distance, s, fallen by an object and its final speed, v, before hitting the ground? Ignore the effects of air res
- June 2024, AS Paper 2, Q7(a)(i) (4 marks): Use the graph to calculate the acceleration of the cone at 0.40 s. acceleration = m s–2 [4]
- June 2024, AS Paper 2, Q8(b)(i) (5 marks): Use data from Table 8.1 to calculate the value of the acceleration when the trolley mass is 0.800 kg. Include the uncertainty in your answer.
- June 2023, Paper 2, Q2(b) (2 marks): The wrapped t-shirt is accelerated by a release of compressed gas into the barrel of the cannon. The barrel is 1.4 m long as shown in Fig. 2.2. Calculate the av
- June 2023, Paper 2, Q9(b)(i) (1 mark): Consider water flowing from a pipe of cross-sectional area 7.9 × 10–3 m2. Water flows out of the pipe at a rate of 55 × 10–3 m3 s–1. Show that the velocity of t
- June 2023, AS Paper 1, Q27(b) (2 marks): Calculate the average speed of the cone with wedge angle 45°. Give an appropriate number of significant figures. average speed = m s–1 [2]
- June 2023, AS Paper 1, Q27(c) (2 marks): Explain why the instantaneous speed of the cone during its fall cannot be calculated using the equation: v2 = u2 + 2as. [2] The students form the hypothesis tha
- June 2023, AS Paper 2, Q1(b) (2 marks): Calculate the maximum height above the ground reached by the ball. You can assume that air resistance is negligible. height = m [2]
- June 2022, Paper 1, Q37(a)(i) (1 mark): A bullet train without passengers has a uniform acceleration of 1.9 km h–1 s–1. Show that it will take about 160 s for the train to reach its top speed of 300 k
- June 2022, AS Paper 1, Q3 (1 mark): The graph below shows the journey of a car. The points A to H represent the times when the car changes its speed. 40 velocity / ms–1 C D 30 B F 20 E G 10 A H 0.
- June 2022, AS Paper 1, Q9 (1 mark): A large object falls vertically through the atmosphere. Which graph would be obtained by plotting: • velocity of the object on the y-axis • time on the x-axis?
- June 2022, AS Paper 2, Q1(a) (2 marks): Show that the height reached by the packet is approximately 60 m, assuming that air resistance is negligible and that the packet was fired from ground level. [2
- November 2021, Paper 1, Q15 (1 mark): A ball is thrown vertically upwards with an initial velocity of 24 m s–1 and is caught by the thrower a time t later. To an appropriate number of significant fi
- November 2021, Paper 1, Q37(c)(i) (2 marks): Explain why v2 = 9 v1. [2]
- November 2021, Paper 1, Q37(c)(ii) (2 marks): The hose can deliver 0.020 m3 s–1 of water. Calculate the velocity v1 of water entering the nozzle. v1 = m s–1 [2]
- November 2021, Paper 3, Q1(a)(iv) (4 marks): Use the gradient to calculate the value for the acceleration of free fall. Include the uncertainty in your answer. acceleration of free fall = ± m s–2 [4]
- November 2021, Paper 3, Q1(b)(i) (1 mark): State the minimum initial data you would need to have in order to obtain a value of g by this method. [1]
- November 2021, Paper 3, Q1(b)(ii) (3 marks): Describe the sources of error in this method. Discuss whether you consider the g-ball or the light-gate method would give a more accurate value for g, the accel
- November 2021, AS Paper 1, Q4 (1 mark): Which section of this velocity-time graph shows the part of the journey where the acceleration has the greatest magnitude? v B C A D t Your answer [1]
- November 2021, AS Paper 1, Q26(a) (1 mark): Use the drawing to complete the missing scale reading in the table. [1]
- November 2021, AS Paper 1, Q26(b) (2 marks): The video was captured at 22 frames per second. Show that the time between each video frame is 0.045 s to 2 significant figures. [2]
- November 2021, AS Paper 1, Q26(c) (2 marks): Calculate the average speed of the ball between positions 4 and 5. speed = cm s–1 [2]
- November 2021, AS Paper 1, Q26(d) (3 marks): Use the data in the table to estimate the average acceleration of the ball. acceleration = cm s–2 [3]
- November 2021, AS Paper 2, Q6(a)(ii) (2 marks): The lunar module was programmed to rise vertically for at least 10 m before changing direction, to make sure that it would be well clear of the launch platform.
- 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
- November 2020, Paper 1, Q11 (1 mark): The diagram shows a trap-door method to measure the acceleration due to gravity g of a steel ball. It uses a millisecond timer to measure the time t of fall h.
- November 2020, Paper 1, Q27 (1 mark): At which point A, B, C or D does the rocket run out of fuel? Your answer [1]
- November 2020, Paper 1, Q28 (1 mark): At which point A, B, C or D does the rocket experience the greatest force of air resistance? Your answer [1] 17 The following information is for use in question
- November 2020, AS Paper 1, Q25(a) (2 marks): Calculate the average speed in m s−1 of the ball between frame number n = 2 and n = 3. average speed = m s−1 [2]
- November 2020, AS Paper 1, Q25(b) (2 marks): Explain why your answer is greater than the instantaneous speed of the ball at t = 1 s. [2] 17 The ball has reached terminal speed after frame n = 5.
- November 2020, AS Paper 1, Q25(d) (2 marks): Determine as precisely as possible a value for the terminal speed of the ball. terminal speed = m s−1 [2]
- November 2020, AS Paper 2, Q1(a) (3 marks): The electric motor provides an initial force of 260 kN. Use this value to calculate the minimum time taken for the train to reach its maximum speed, starting fr
- November 2020, AS Paper 2, Q7(a)(i) (1 mark): Calculate the time that the opponent has to react before the ball reaches him, assuming that the frictional forces from the air are negligible. time = s [1]
- June 2019, Paper 1, Q15 (1 mark): At which point labelled on the graph does the rocket have the greatest acceleration? Your answer [1]
- June 2019, Paper 1, Q16 (1 mark): At which point labelled on the graph does the rocket have the greatest altitude? Your answer [1]
- June 2019, AS Paper 1, Q5 (1 mark): A large object falls vertically through the atmosphere. Write down the letter of the graph that would be obtained by plotting: • velocity v of the object on the
- June 2019, AS Paper 1, Q23(a) (1 mark): Explain one advantage of using video capture to collect these data. [1]
- June 2019, AS Paper 1, Q23(b) (2 marks): Use the graph to show that the acceleration due to gravity is approximately 10 m s–2. [2]
- June 2019, AS Paper 2, Q7(c)(i) (3 marks): Calculate, as accurately as the data allow, the velocity v of the ball after it has fallen for 1 s. Show your working. v = m s–1 [3]
- June 2018, Paper 2, Q4(a)(i) (2 marks): The height of the Leaning Tower is 56 m. Calculate the time for a mass to fall to the ground when released from rest at the top of the tower. Ignore the effects
- June 2018, AS Paper 1, Q7 (1 mark): Here is a velocity-time graph for a car. 40 velocity / ms–1 R S 30 U 20 Q T V 10 P 0 W 0 20 40 60 80 time / s Between which points does the car have the largest
- June 2018, AS Paper 1, Q8 (1 mark): An object falls freely from rest. Which graph represents distance fallen (y-axis) against time (x-axis)? y y 0 0 0 x 0 x A B y y 0 0 0 x 0 x C D Your answer [1]
- June 2017, Paper 1, Q12 (1 mark): A car travelling at 10 m s–1 is brought to rest in a braking distance of 10 m. Using the same average braking force, in what distance can the car be brought to
- 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
- June 2017, AS Paper 1, Q1 (1 mark): Which graph, A, B, C or D, best represents the relationship between the variables x and y where: y is the velocity of an object falling freely from rest x is th
- June 2017, AS Paper 1, Q2 (1 mark): Which graph, A, B, C or D, best represents the relationship between the variables x and y where: y is the velocity of an object falling freely from rest x is th
- June 2016, AS Paper 1, Q10 (1 mark): A golf ball is dropped from rest onto a hard floor. The graph shows how the velocity of the ball varies with time as it bounces, from the time of release. At wh
- June 2016, AS Paper 1, Q29(b)(i) (2 marks): Use the data from the table or the graph to make a new estimate for the terminal velocity. The table has a blank column for you to use, if required. Make your m
- June 2016, AS Paper 2, Q6(b) (2 marks): Anna repeats the experiment for different values of s. She intends to plot a graph of v2 – u2 (y-axis) against s (x-axis). Explain why this should result in a s
- June 2016, AS Paper 2, Q6(d) (3 marks): Anna repeats her measurements for five further values of s and plots the graph of Fig. 6.4. Draw suitable lines on the graph and use them to determine the value
- June 2016, AS Paper 2, Q6(e) (6 marks): This question is about an experiment performed in AS physics to determine the acceleration due to gravity, g. Two students have chosen to do this experiment in
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