A driver's reaction time is 0.7 s and the car travels at 20 m/s. Calculate the thinking distance.
Distance = speed × time.
Worked solution
- m
GCSE & IGCSE physics practice
A vehicle's stopping distance is the thinking distance (travelled during the driver's reaction time) plus the braking distance (travelled while the brakes act). Thinking distance = speed × reaction time. Typical reaction times are 0.2 s to 0.9 s. The last questions use work done = force × distance to find braking distances.
15 questions · Foundation tier · Every answer is checked as you type it, with a full worked solution. Updated .
| GCSE (AQA) | Physics and Combined Science, Foundation and Higher: stopping distance = thinking distance + braking distance, and the factors affecting each. GCSE Physics only: estimate emergency stopping distances over a range of speeds and interpret speed–stopping distance graphs. |
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| Cambridge IGCSE (0625) | Stopping distances aren't in the 2026 to 2028 syllabus. |
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A driver's reaction time is 0.7 s and the car travels at 20 m/s. Calculate the thinking distance.
Distance = speed × time.
Worked solution
A car's thinking distance is 14 m and its braking distance is 24 m. What is its stopping distance?
Add them.
Worked solution
A car travels at 25 m/s and the driver's reaction time is 0.8 s. Calculate the thinking distance.
Thinking distance = speed × reaction time.
Worked solution
A car's stopping distance is 53 m and its thinking distance is 15 m. What is its braking distance?
Stopping = thinking + braking.
Worked solution
At 30 m/s, a driver's thinking distance is 18 m. Calculate their reaction time.
Time = distance ÷ speed.
Worked solution
A car travels at 13 m/s. The driver's reaction time is 0.5 s and the braking distance is 14 m. Calculate the stopping distance.
Find the thinking distance first.
Worked solution
Which of these increases the thinking distance?
Thinking distance depends on the driver.
Worked solution
Which of these increases the braking distance but not the thinking distance?
Braking distance depends on the car and the road.
Worked solution
A car travels at 72 km/h. The driver's reaction time is 0.6 s. Calculate the thinking distance.
Convert km/h to m/s first: divide by 3.6.
Worked solution
Thinking distance increases at the same rate as speed. A driver going at 40 mph has a thinking distance of 12 m. What is their thinking distance at 60 mph?
Thinking distance is proportional to speed (same reaction time).
Worked solution
Which of these increases the braking distance?
Braking distance depends on the car and the road; thinking distance depends on the driver.
Worked solution
A 1000 kg car travelling at 20 m/s brakes with a constant force of 5000 N. Calculate its braking distance.
Work done by the brakes = kinetic energy lost.
Worked solution
With the same braking force, a car's speed doubles. By what factor does its braking distance increase?
Braking distance is proportional to kinetic energy, which depends on speed squared.
Worked solution
A 1200 kg car travelling at 15 m/s stops in a braking distance of 30 m. Calculate the average braking force.
Work done by the brakes = kinetic energy of the car.
Worked solution
A car's braking distance is 12 m at 10 m/s. With the same braking force, what is its braking distance at 30 m/s?
Braking distance is proportional to speed squared.
Worked solution
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