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AQA A Level Maths

Topic questions Mechanics Motion graphs

Motion graphs

5 questions · 12 marks · about 15 minutes

Motion graphs questions

AQA 7357 Motion graphs 5 questions

Paper 2 June 2025, Question 12 1 mark

A particle moves in a straight line for 8 seconds.

The velocity v, in m s–1, of the particle at time t seconds is shown in the diagram.

Figure for question 12

Find the displacement, in metres, of the particle after 8 seconds.

Circle your answer.

–12 0 6 12

[1]
Reveal mark scheme Mark scheme for question 12

Paper 2 June 2023, Question 12 1 mark

A particle moves in a straight line.

After the first 4 seconds of its motion, the displacement of the particle from its initial position is 0 metres.

One of the graphs on the opposite page shows the velocity v m smaths symbol1 of the particle after time t seconds of its motion.

Identify the correct graph.

Tick (maths symbol) one box.

Figure for question 12
[1]
Reveal mark scheme Mark scheme for question 12

Paper 2 June 2022, Question 15 4 marks

Also involves Area under a curve

A car is moving in a straight line along a horizontal road.

Figure for question 15

Over the period 0 maths symbol t maths symbol 15 the car has a total displacement of maths symbol7 metres.

Initially the car has velocity 0 m smaths symbol1

Find the next time when the velocity of the car is 0 m smaths symbol1

[4]
Reveal mark scheme Mark scheme for question 15

Paper 2 June 2019, Question 10 1 mark

The diagram below shows a velocity-time graph for a particle moving with velocity

Question 10, shown as an image
Figure for question 10

Which statement is correct?

Tick (maths symbol) one box.

The particle was stationary for 9 maths symbol t maths symbol 12

The particle was decelerating for 12 maths symbol t maths symbol 20

The particle had a displacement of zero when t maths symbol 6

The particle’s speed when t maths symbol 4 was maths symbol12 m smaths symbol1

[1]
Reveal mark scheme Mark scheme for question 10

Paper 2 June 2018, Question 12 5 marks

The graph below shows the velocity of an object moving in a straight line over a 20 second journey.

Figure for question 12
(a)

Find the maximum magnitude of the acceleration of the object.

[1]
Reveal mark scheme Mark scheme for question 12(a)
(b)

The object is at its starting position at times 0, t1 and t2 seconds.

Question 12, shown as an image
[4]
Reveal mark scheme Mark scheme for question 12(b)

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