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Calculators/Physics/Acceleration & stopping distance
Physics

Acceleration & stopping distance calculator

Uniform acceleration, braking distance and reaction gap.

What this calculator does

Acceleration & stopping distance works out uniform acceleration, braking distance and reaction gap. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulaa = (v−u)/t; s = ut + ½at²; stopping distance = v·t_reaction + v²/(2μg)

The inputs explained

FieldWhat to enter
Initial speed (km/h)A number, measured in km/h. Starts at 0.
Final speed (km/h)A number, measured in km/h. Starts at 100.
Time taken (s)A number, measured in s. Starts at 8.
Braking friction coefficientA number. Starts at 0.7.
Reaction time (s)A number, measured in s. Starts at 1.5.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with initial speed

Every other input is held at the calculator’s starting values while initial speed varies. Select any row to load that scenario into the calculator.

How the answer changes with initial speed
Initial speed (km/h)AccelerationIn gDistance covered
13.438 m/s²0.351 g112.2 m
23.403 m/s²0.347 g113.3 m
53.299 m/s²0.336 g116.7 m
103.125 m/s²0.319 g122.2 m
202.778 m/s²0.283 g133.3 m
501.736 m/s²0.177 g166.7 m