Stopping Distances (AQA GCSE Combined Science: Synergy: Physical Sciences): Revision Note
Exam code: 8465
Written by: Ashika
Updated on
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Thinking & Braking Distances
The stopping distance of a car is defined as:
The total distance travelled during the time it takes for a car to stop in response to some emergency
It can be written as an equation involving two distances:
Stopping distance = Thinking distance + Braking distance
Where:
Thinking distance = the distance travelled in the time it takes the driver to react (reaction time) in metres (m)
Braking distance = the distance travelled under the braking force in metres (m)
Stopping distance = the sum of the thinking distance and braking distance, in metres (m)
For a given braking force, the greater the speed of the vehicle, the greater the stopping distance
Worked Example
At a speed of 20 m/s, a particular vehicle had a stopping distance of 40 metres. The car travelled 14 metres whilst the driver was reacting to the incident in front of him. What was the braking distance?
A. 54 m
B. 34 m
C. 26 m
D. 6 m
Answer: C
Step 1: Identify the different variables
Stopping distance = 40 m
Thinking distance = 14 m
Step 2: Rearrange the formula for stopping distance
Stopping distance = Thinking distance + Braking distance
Braking distance = Stopping distance – Thinking distance
Step 3: Calculate and identify the correct braking distance
Braking distance = 40 – 14 = 26 metres
Therefore, the answer is C
Factors Affecting Stopping Distance
The thinking distance is defined as:
The distance travelled by a car from when a driver realises they need to brake to when they apply the brakes
The reaction distance is equal to:
Reaction Distance = Speed of the car × Driver’s reaction time
Factors affecting thinking distance
The main factor that affects the thinking distance is the car’s speed, however additional factors can affect the thinking distance
It is increased by:
Tiredness
Distractions (e.g. using a mobile phone)
Intoxication (i.e. consumption of alcohol or drugs)
Since these factors can affect the driver's reaction time, they directly affect the thinking distance
Factors affecting braking distance
The braking distance is the distance a vehicle travels from when the brakes are applied until the vehicle stops
The main factor affecting braking distance is the vehicle's speed
The greater the speed, the greater the braking distance
Additional factors that increase the braking distance include:
Adverse road conditions: wet or icy roads reduce friction between the tyres and the road surface
Poor tyre condition: worn tyres have reduced grip, decreasing the friction force available
Poor brake condition: worn or faulty brakes reduce the braking force that can be applied
Worked Example
The graph below shows how the thinking distance of a driver depends on the speed of the car.

(a) Describe the connection between thinking distance and speed.
(b) Some people drive when they are tired, despite warnings against doing so. Draw a new line on the graph to show how thinking distance varies with speed for a tired driver.
Answer:
Part (a)
Step 1: Check if the line is straight and if it goes through the origin
The graph shows a straight line through the origin
Therefore, the thinking distance is directly proportional to the speed of the car
Part (b)
Step 1: Recall the factors which affect the thinking distance
Three additional factors affect the thinking distance, because they affect human reaction time:
Tiredness
Distractions
Intoxication
Hence, a tired driver's reaction time is greater (i.e. it takes longer for them to react)
Step 2: Draw a line that shows greater thinking distance for the same speed
At the same speed, a tired driver's thinking distance will be greater than a driver who is alert
This means a line should be drawn with a steeper gradient, as shown below:

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