Pearson Edexcel International GCSE (9–1) · PHYSICS · Section
Area under a velocity-time graph gives distance travelled
16 practice questions
Practice questions
1–10 of 16
Question 1
1 mark · Easy
Answer and see the solution →State what the area under a velocity–time graph represents.
Question 2
2 marks · Easy
Answer and see the solution →A scooter moves with a constant velocity of for . Calculate the distance it travels during this time.
Question 3
1 mark · Easy
Answer and check →Which of the following graphs shows an object travelling at a constant velocity of 5 m/s for 4 seconds?
- A.A horizontal line at 5 m/s from t = 0 to t = 4 s
- B.A sloping line from 0 m/s to 5 m/s in 4 s
- C.A horizontal line at 0 m/s
- D.A curve increasing from 0 to 10 m/s
Question 4
2 marks · Easy
Answer and see the solution →An object starts from rest and accelerates uniformly to 10 m/s in 5 seconds. Calculate the distance it travels during this time using the area under the velocity–time graph.
Question 5
2 marks · Easy
Answer and see the solution →The table below shows the velocity of a cart at different times.
Velocity of a cart Time (s) Velocity (m/s) 0 0 2 6 4 6 6 0 Question 6
4 marks · Easy
Answer and see the solution →A ball rolls down a ramp, starting from rest. The velocity–time graph for the first 4 seconds is a straight line from (0, 0) to (4, 8).
(a)[1 mark]Draw the velocity–time graph for this motion, labelling both axes with appropriate units.
(b)[1 mark]Explain how you would use the area under the graph to find the distance travelled in these 4 seconds.
(c)[2 marks]Calculate the distance the ball rolls in the 4 seconds.
Question 7
2 marks · Easy
Answer and see the solution →Explain why the area under a velocity–time graph is sometimes a triangle and sometimes a rectangle. Give an example of each case.
Question 8
2 marks · Easy
Answer and see the solution →A walker starts at 2 m/s and walks at this speed for 6 seconds, then stops instantly. Calculate the total distance travelled, and state which shape under the velocity–time graph you used.
Question 9
4 marks · Normal
Answer and see the solution →A sprinter runs a race. The velocity–time graph below shows her motion for the first 8 seconds of the race.
Figure 1. Sprinter's velocity-time graph (a)[3 marks]Calculate the total distance the sprinter travels in the first 8 seconds.
(b)[1 mark]Explain how the area under the graph represents the distance travelled.
Question 10
2 marks · Normal
Answer and see the solution →A cyclist moves at a constant velocity of 6 m/s for 35 seconds. Calculate the distance travelled using the area under the velocity–time graph.