Part of the Engineering & Mechanics suite · 123 calculators

Uniformly Accelerated Motion Calculator

Solve any constant-acceleration problem — the SUVAT equations, given any three of displacement, initial and final velocity, acceleration and time.

The standard constant-acceleration equations.

m/s
m/s²
s
Results update as you type
Results
Final velocity
15 m/s
Displacement
Average velocity
Final velocity in km/h
Acceleration in g
Check via v² = u² + 2as
Time to return to rest at this rate
Reviewed September 2026. Physics is the same everywhere: SI units in, with imperial equivalents in the results.
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About uniformly accelerated motion

How the uniformly accelerated motion calculator works

Four equations describe constant acceleration, and each omits one variable: v = u + at (no s), s = ut + ½at² (no v), v² = u² + 2as (no t), and s = ½(u+v)t (no a).

Given any three of the five you can find the other two. The calculator takes u, a and t as the most common set and reports everything else.

Formula: v = u + at; s = ut + ½at²; v² = u² + 2as

Worked examples

InputsFinal velocityNote
From rest at 3 m/s² for 5 s15 m/s15 m/s after 37.5 m
Braking from 20 m/s at −5 m/s²0 m/sstops exactly at 4 s
Free fall for 3 s29.41995 m/s29.4 m/s after 44.1 m

Frequently asked questions

What does SUVAT stand for?

The five variables: s (displacement), u (initial velocity), v (final velocity), a (acceleration), t (time). Each equation uses four of them.

When do these equations apply?

Only when acceleration is constant. Variable acceleration needs calculus.

Which equation should I use?

The one that omits the variable you neither know nor want. If time is unknown, use v² = u² + 2as.

Why does displacement grow with t²?

Because the velocity itself is growing. Distance is the area under the velocity–time graph, and for a rizing line that area is a triangle.

Does free fall use these?

Yes, with a = 9.81 m/s² downward — provided air resistance is negligible.

Where these figures come from

Last checked: September 2026. Constants are the CODATA 2018 values; formulas are the standard textbook forms.