SUVAT Calculator (Equations of Motion)

Solves straight-line motion with constant acceleration.

Results

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Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.

s: displacement —

u: initial velocity —

v: final velocity —

a: acceleration — m/s²

t: time —

Average velocity —

Reading this —

The formula

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

Each equation leaves out one of the five values, so three values usually fix the other two, though some sets allow two answers and some none.

Choose a positive direction and keep to it. A ball thrown upward with up as positive has a = −9.81 m/s².

What does SUVAT stand for?

Displacement (s), initial velocity (u), final velocity (v), acceleration (a) and time (t).

How far does a car travel accelerating from rest at 2 m/s² for 5 s?

25 m, reaching 10 m/s.

How long does a car at 30 m/s take to stop in 90 m?

6 s, at -5 m/s².