Equations of motion: past paper questions

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• Question 5Oct/Nov 2025, paper 11Multiple choice1 mark

  A goods train passes through a station at a constant speed of $10{\text{ ms}}^{-1}$ at time $t=0$. An express train is at rest at the station.

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• Question 5Oct/Nov 2024, paper 11Multiple choice1 markHas a diagram

  An object is projected from horizontal ground at a velocity of magnitude $u$ and angle $\theta$ to the horizontal. It hits the ground at a time $t$ after it is projected. Assume air resistance is negligible.

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• Question 6May/June 2026, paper 11Multiple choice1 mark

  What is the definition of velocity?

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• Question 6Oct/Nov 2025, paper 11Multiple choice1 markHas a diagram

  A ball is held above the ground and released. It falls to the ground and bounces several times. The graph shows the variation with time $t$ of the velocity $v$ of the ball.

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• Question 7Oct/Nov 2025, paper 11Multiple choice1 markHas a diagram

  An object is projected horizontally. The object falls a vertical distance $y$ and travels a horizontal distance $x$ before landing on the ground.

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• Question 13Oct/Nov 2024, paper 11Multiple choice1 mark

  An object is dropped from rest on the Earth from a height of $2.0\text{m}$. The same object is dropped from rest on the Moon from twice the height. The acceleration of free fall on the Moon is approximately $16\mathrm{\%}$ of the value on the Earth.

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• Question 5Oct/Nov 2023, paper 12Multiple choice1 markHas a diagram

  What is the definition of acceleration?

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• Question 14Oct/Nov 2024, paper 11Multiple choice1 markHas a diagram

  The graph shows how velocity $v$ varies with time $t$ for a bungee jumper. At which point is the bungee jumper momentarily at rest and at which point does she have zero acceleration?

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• Question 6Oct/Nov 2023, paper 12Multiple choice1 mark

  An astronaut on the Moon, where there is no air resistance, throws a ball. The ball's initial velocity has a vertical component of $8.00{\text{ m s}}^{-1}$ and a horizontal component of $4.00{\text{ m s}}^{-1}$, as shown.

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• Question 18May/June 2026, paper 11Multiple choice1 mark

  Object X is at a small height $h$ above the surface of the Earth and then falls from rest to the surface. The speed of object X when it reaches the surface of the Earth is $v_{\text{X}}$.

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• Question 4Oct/Nov 2024, paper 12Multiple choice1 markHas a diagram

  The graph shows how the acceleration of an object moving in a straight line varies with time. The object starts from rest. Which graph shows the variation with time of the velocity of the object over the same time interval?

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• Question 5Oct/Nov 2023, paper 13Multiple choice1 markHas a diagram

  A student walks at a constant speed for a distance of 50 m in a time of 40 s. The student rests for a time of 10 s and then walks back to the starting point at a constant speed in a time of 30 s. What is the distance–time graph for the motion of the student?

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• Question 5May/June 2026, paper 12Multiple choice1 mark

  One object moves directly from P to R. In a shorter time, a second object moves from P to Q to R. Which statement about the two objects is correct for the journey from P to R?

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• Question 7Oct/Nov 2025, paper 12Multiple choice1 markHas a diagram

  The velocity–time graph for an object is shown. Which expression gives the total displacement of the object?

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• Question 6Oct/Nov 2023, paper 13Multiple choice1 mark

  The time taken for an object to fall from rest through a certain distance on Mars is $T_{\text{M}}$. The time taken for the same object to fall from rest through the same distance on Earth is $T_{\text{E}}$. The acceleration of free fall on Mars is $3.71{\text{ m s}}^{-2}$.

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• Question 7May/June 2026, paper 12Multiple choice1 markHas a diagram

  The diagram shows an arrangement to stop trains that are travelling too fast. Trains coming from the left travel at a speed of $50{\text{ m s}}^{-1}$.

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• Question 1Oct/Nov 2023, paper 22Structured9 marksHas a diagram

  In the following list, underline all quantities that are SI base quantities. charge electric current force time

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• Question 8May/June 2026, paper 12Multiple choice1 mark

  An experiment is performed to measure the acceleration of free fall $g$.

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• Question 1Oct/Nov 2025, paper 21Structured10 marksHas a diagram

  Define acceleration.

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• Question 8Oct/Nov 2024, paper 13Multiple choice1 markHas a diagram

  The graph shows the variation of velocity with time for a stone that falls from a bridge into a lake and sinks to the bottom of the lake. What can be deduced about the motion of the stone?

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• Question 2Oct/Nov 2023, paper 23Structured6 marksHas a diagram

  A ball on horizontal ground is kicked towards a vertical wall. Fig. 2.1 shows the path of the ball. The ball has an initial velocity $u$ at an angle of ${38}^{\circ }$ to the ground.

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• Question 5May/June 2026, paper 13Multiple choice1 markHas a diagram

  An object falls from a large height. The air resistance acting on the object is significant. The graphs show the variation of two quantities $P$ and $Q$ with time.

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• Question 2Oct/Nov 2024, paper 21Structured11 marksHas a diagram

  Define linear momentum.

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• Question 6May/June 2026, paper 13Multiple choice1 mark

  Two projectiles, X and Y, are fired into the air from the same place on level ground and reach the same maximum height, as shown. Projectile X is fired vertically upwards and projectile Y is fired at an angle to the horizontal. Air resistance is negligible.

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• Question 2Oct/Nov 2024, paper 22Structured10 marksHas a diagram

  Define momentum.

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• Question 17May/June 2026, paper 13Multiple choice1 mark

  An object of mass $m$ has a constant acceleration due to a constant resultant force $F$. In a distance $s$, the speed of the object is increased from $u$ to $v$. What is the relationship between $s$, $m$, $F$, $u$ and $v$?

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• Question 7May/June 2025, paper 11Multiple choice1 mark

  Which equation of uniformly accelerated motion can be derived using only the gradient of a velocity–time graph?

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• Question 3May/June 2024, paper 11Multiple choice1 markHas a diagram

  The velocity of an object changes from an initial velocity $u$ to a final velocity $v$. The vectors represent these velocities. Which single vector represents the change in velocity of the object?

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• Question 8May/June 2025, paper 11Multiple choice1 markHas a diagram

  An object is projected horizontally from a table at time $t=0$. The object falls in a uniform gravitational field. Air resistance is negligible.

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• Question 4May/June 2024, paper 11Multiple choice1 mark

  An object is moving with initial velocity $u$. The object then moves with uniform acceleration $a$ for time $t$ until it reaches final velocity $v$. Which equation describes the motion of the object?

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