SUVAT Calculator

Fill in any three of s, u, v, a and t, and leave the other two blank.

This result is an estimate only. Double-check important figures before relying on them.

How it is calculated

v = u + at
s = ut + ½at²
s = ½(u + v)t
v² = u² + 2as
The calculator picks the formulas that fit your three known values

For a single step, use the velocity calculator or the acceleration calculator.

Worked example

u = 0, a = 2 m/s², t = 5 s:

v = 10 m/s
s = 25 m

Why your number may differ

When v appears in a square-root equation the positive root is taken, which assumes the motion does not reverse.

Frequently asked questions

What does SUVAT stand for?

Displacement (s), initial velocity (u), final velocity (v), acceleration (a) and time (t). They are linked by equations that hold when the acceleration is constant.

Which equations are used?

v = u + at, s = ut + ½at², s = ½(u + v)t, v² = u² + 2as and s = vt − ½at².

Why can it say no solution?

Some inputs cannot happen. For example, a body cannot reach a speed that needs the square root of a negative number.