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Global Challenges

Estimating stopping distances and the forces in a collision

  • 3 things to know
  • Paper 4

Overview

Estimated stopping distances at typical speeds, how thinking and braking distance change when speed doubles and why, calculating overall stopping and thinking distances, estimating the braking, driving and collision forces on cars, lorries and passengers, and why collision forces are so much larger than in ordinary driving.

What you need to know

Answer each one before you reveal it.

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Key term

Explain why braking distance grows so much faster than speed.

Key term

A driver's reaction time is 0.7 s and the car is travelling at 20 m/s. Estimate the thinking distance.

Key term

A car of mass 1000 kg decelerates at 8 m/s². Estimate the braking force acting on it.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Estimate the overall stopping distance of a car travelling at about 13 m/s in good conditions.

    Model answer

    About 23 m, made up of roughly 9 m of thinking distance and 14 m of braking distance.

  2. 2

    Estimate the overall stopping distance of a car travelling at about 9 m/s in good conditions.

    Model answer

    About 12 m, roughly 6 m thinking distance and 6 m braking distance.

  3. 3

    Estimate the overall stopping distance of a car travelling at about 31 m/s in good conditions.

    Model answer

    About 96 m, roughly 21 m thinking distance and 75 m braking distance.

  4. 4

    What happens to thinking distance when a car's speed is doubled?

    Model answer

    It doubles, because the reaction time is unchanged and the car covers twice the distance in it.

  5. 5

    What happens to braking distance when a car's speed is doubled?

    Model answer

    It becomes roughly four times as long.

  6. 6

    Explain why braking distance grows so much faster than speed.

    Model answer

    The energy in the car's kinetic store depends on the square of its speed, so at double the speed four times as much energy must be removed by the same braking force, over four times the distance.

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