Define — 2 marks
A car driver notices that when they apply the brakes while travelling at high speed on a motorway, it takes a considerable distance for the car to come to a complete stop. The distance travelled during braking is an important safety consideration for all drivers.
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(a) Define the term 'braking distance'.
[1 mark]
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(b) Define the term 'stopping distance'.
[1 mark]
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- (a) The distance travelled by a vehicle from when the brakes are applied until it comes to a complete stop / The distance the car moves whilst braking is taking effect
- (b) The total distance travelled from when the driver first sees a hazard (or decides to brake) until the vehicle stops completely / The sum of thinking distance and braking distance
Compare — 3 marks
A driver is travelling at 20 m/s on a motorway when they spot a hazard ahead. Their reaction time is 0.5 seconds. Once they apply the brakes, the car decelerates uniformly at 8 m/s². In wet conditions, the same car travelling at the same speed has a reaction time of 0.5 seconds but can only decelerate at 5 m/s² due to reduced friction between the tyres and road.
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(a) Calculate the thinking distance for the car in both conditions.
[1 mark]
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(b) Compare the braking distance required in dry conditions with the braking distance required in wet conditions. Show your working.
[2 marks]
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- (a) Thinking distance = 20 × 0.5 = 10 m (same in both conditions as reaction time and speed are identical)
- (b) Dry conditions: braking distance = v²/(2a) = 20²/(2 × 8) = 400/16 = 25 m
- (b) Wet conditions: braking distance = v²/(2a) = 20²/(2 × 5) = 400/10 = 40 m; the braking distance in wet conditions is 15 m longer / 1.6 times greater because the deceleration is lower due to reduced friction