Estimate how the emergency stopping distance of a vehicle varies with speed.
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GCSE Physics Revision
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GCSE Physics revision
Stopping distance
Forces and braking
Your specification
AQA student objectives
Learning pathway
All · Most · Some
Interpret stopping-distance graphs to explain how stopping distance changes with vehicle speed.
Analyse how speed and other relevant factors affect stopping distance in an unfamiliar situation.
Revision summary
Key knowledge
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Thinking Distance Explained
- Thinking distance is the distance a car travels during the driver's reaction time, before the brakes are applied.
- Reaction time is the time it takes for a driver to respond to a danger and apply the brakes.
- Distance can be calculated using the equation s = vt, where s is distance, v is speed, and t is time.
- If reaction time stays the same but speed doubles, the thinking distance also doubles.
Braking Distance Explained
- Braking distance is the distance a car travels after the brakes are applied until it comes to a complete stop.
- A faster car has more speed to lose, so it takes longer to decelerate and travels further before stopping.
- Even if two cars have the same braking force and deceleration, the faster car will have a greater braking distance.
- The braking distance for a car travelling at double the speed more than doubles — it increases by a greater factor than thinking distance.
The Relationship Between Speed and Stopping Distance
- Doubling the speed doubles the thinking distance, but more than doubles the braking distance.
- This means the overall stopping distance increases significantly with even small increases in speed.
- When estimating how stopping distance changes with speed, it is important to account for the non-linear increase in braking distance.
Factors Affecting Speed Limits on Roads
- Speed limits are set based on how short stopping distances need to be in a given area.
- The likelihood of sudden hazards, such as pedestrians or animals entering the road, is a key consideration.
- The volume of traffic and the gap between vehicles affects whether a car can stop in time if the vehicle ahead brakes suddenly.
- The number of junctions on a road influences how frequently drivers need to slow down or stop.
- The presence of pedestrian crossings, such as zebra crossings or traffic lights, also affects the appropriate speed limit.
Why Speed Limits Matter for Safety
- Higher speeds lead to longer stopping distances, increasing the risk of a driver being unable to stop in time to avoid a collision.
- Roads in towns and cities in the UK typically have speed limits of 20, 30, or 40 mph, depending on the hazards present.
- Motorways have higher speed limits because there are fewer sudden hazards such as pedestrians and junctions.
Key Equations and Exam Tips
- Use s = vt to calculate thinking distance, where v is the car's speed and t is the driver's reaction time.
- In exam questions about stopping distance, always mention both thinking distance and braking distance separately.
- When asked why a road has a particular speed limit, always refer to stopping distance in your answer.