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Acceleration Calculator

Acceleration from a change in velocity, plus the distance covered.

By CalcHub Editorial · Last reviewed

Quick answer

  • Formula: a = (v − u) ÷ t; distance = ((u + v) ÷ 2) × t
  • Worked example — Acceleration: 5.0000 m/s² (full example below).

Acceleration Calculator

Worked example result
Acceleration5.0000 m/s²
Distance covered40.0000 m
Average velocity10.0000 m/s

Accelerating from rest to 20 m/s in 4 s means 5 m/s², covering 40 m in the process.

Diagram: how the Acceleration Calculator works — you enter Initial velocity (u), Final velocity (v), Time; it applies the formula a = (v − u) ÷ t; distance = ((u + v) ÷ 2) × t; and the worked example gives Acceleration: 5.0000 m/s².
How the Acceleration Calculator works — the inputs, the formula, and a worked example (Acceleration: 5.0000 m/s²).

Acceleration is the rate at which velocity changes. Given a starting and ending velocity and the time between them, this calculator finds the (average, assumed constant) acceleration.

It also reports the distance covered during that time, using the average of the initial and final velocities — exact when acceleration is constant.

The formula

a = (v − u) ÷ t; distance = ((u + v) ÷ 2) × t

Worked example

Accelerating from rest to 20 m/s in 4 s means 5 m/s², covering 40 m in the process.

Worked example for the Acceleration Calculator: with Initial velocity (u) 0, Final velocity (v) 20, Time 4, the result is Acceleration: 5.0000 m/s²; Distance covered: 40.0000 m.
The worked example, with the example values entered and the results they give.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

Can acceleration be negative?

Yes — a final velocity lower than the initial velocity gives negative acceleration (deceleration), for example −5 m/s² when slowing down.

What acceleration is 0–100 km/h in 5 seconds?

100 km/h is 27.78 m/s, so a = 27.78 ÷ 5 ≈ 5.56 m/s² — a little over half of g (9.81 m/s²).

Category: Science calculators

Sources & methodology

This calculator applies the formula shown on this page exactly as written, using the standard definitions for its inputs. Results are computed from the values you enter — no data is stored — and are rounded only for display.

Content last reviewed by CalcHub Editorial.

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