SUVAT Calculator

Solve constant-acceleration motion problems with the SUVAT equations: give any three of s, u, v, a and t.

I know	u, a, t → find v, s
Initial velocity u	0 m/s
Acceleration a	9.81 m/s²
Time t	3 s

I know

Initial velocity u

m/s

Acceleration a

m/s²

Time t

Final velocity v

29.43 m/s

Displacement s = 44.145 m.

Displacement s: 44.145 m
Initial velocity u: 0 m/s
Final velocity v: 29.43 m/s
Acceleration a: 9.81 m/s²
Time t: 3 s

Velocity over time: the shaded area is the displacement

Final velocityat (3, 29.43)Point at the chart, or Tab to it and use ← →

Final velocity: (3, 29.43)

About the SUVAT Calculator

The SUVAT equations describe motion with constant acceleration in a straight line, such as a falling object (a = 9.81 m/s²) or a braking car (negative a). Each of the five equations leaves out one variable, so knowing any three lets you find the other two. Take one direction as positive and keep signs consistent.

The formula

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

s: displacement (m)
u: initial velocity (m/s)
v: final velocity (m/s)
a: acceleration (m/s²)
t: time (s)

Worked example

A ball dropped from rest falls for 3 s

u = 0, a = 9.81, t = 3 → v = 29.43 m/s and s = 44.145 m.

Questions people ask

What is g?

9.81 m/s² near Earth's surface (standard gravity 9.80665).

Does it work for projectiles?

Yes, separately for the horizontal (a = 0) and vertical (a = −g) parts.