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physics

Stopping Distance Calculator

Calculate total stopping distance from speed, reaction time, and braking deceleration — metric and imperial.

Total stopping distance
34.61 m
Reaction distance + braking distance
Reaction distance (m)
20.83 m
Braking distance (m)
13.78 m

Real-world stopping distance varies with road surface, tyre condition, brake performance, gradient, and vehicle load. These are physics estimates only.

How it works

  1. 1Enter your speed, driver reaction time, and braking deceleration — the tool converts them to SI units before computing.
  2. 2Reaction distance is v·t: the distance travelled while the driver perceives and responds to a hazard.
  3. 3Braking distance is v² ÷ (2a): the distance from the moment braking begins until the vehicle stops. The two are summed for the total.

Use cases

  • Road-safety education — illustrating how doubling speed roughly quadruples braking distance.
  • Driver training — showing why reaction time and road-surface condition both matter.
  • Engineering — estimating safe following distances and stopping zones for vehicles or machinery.

Frequently asked questions

What is the formula for stopping distance?

Total stopping distance = reaction distance + braking distance. Reaction distance = v × t, where v is speed (m/s) and t is reaction time (s). Braking distance = v² ÷ (2a), where a is deceleration (m/s²). So d = v·t + v² ÷ (2a).

What is a typical reaction time and deceleration for a car?

A conservative real-world reaction time is about 1.5 s. Typical dry-road deceleration for a modern car with good tyres is around 7–9 m/s². Wet roads can reduce this to 3–5 m/s², lengthening the braking distance.

Can you show a worked example?

At 50 km/h (≈ 13.89 m/s) with a 1.5 s reaction time and 7 m/s² braking: reaction distance ≈ 13.89 × 1.5 ≈ 20.8 m; braking distance ≈ 13.89² ÷ 14 ≈ 13.8 m; total ≈ 34.6 m. At 100 km/h the total jumps to about 110 m.

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