Physics on the move

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Question 3
Medium

The graph shows thinking and braking distances for a car at different speeds.

![A line graph showing 'thinking distance' and 'braking distance' in meters on the vertical y-axis against 'speed' in meters per second on the horizontal x-axis. The y-axis goes from 0 to 60 with grid lines. The x-axis goes from 0 to 30. There are two curves starting from the origin (0,0):

  1. A thick straight line representing thinking distance: it passes through (0,0), (10, 6) and (20, 12) and (30, 18).
  2. A curved line representing braking distance: it curves upwards from (0,0), passing through (10, 5) and (20, 20) and (30, 45).](https://assets.mathsgenie.co.uk/aqa-qb/40ea240d-2d3e-4012-adbc-db417e1c103c.png)
a.

Describe the relationship between the speed of the car and its thinking distance. Use data from the graph to support your answer.

[2]
b.

Use the graph to find the thinking distance of the car at a speed of 25 m/s25\text{ m/s}25 m/s.

[1]
c.

Calculate the thinking time (reaction time) of the driver at 25 m/s25\text{ m/s}25 m/s. Use the formula: distance=speed×time\text{distance} = \text{speed} \times \text{time}distance=speed×time Give your answer to 2 decimal places.

[2]
d.

State one factor that increases the braking distance of a car.

[1]
e.

Determine the stopping distance of the car at a speed of 20 m/s20\text{ m/s}20 m/s. Use the graph to help you.

[2]
f.

Explain how the speed of the car affects its kinetic energy and braking distance. Use data from the graph to support your answer.

[3]

Physics on the move Questions

  1. GCSE
  2. /Physics
  3. /Physics on the move