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

SUVAT: The five constant-acceleration equations — give any three, get the rest. This free calculator solves for Any 2 of s, u, v, a, t and shows every step.

The physics

The five SUVAT equations connect the five kinematic variables for any motion at constant acceleration. Each equation omits one variable, so once you know any three you can find the remaining two.

Worked example

Start from rest (u = 0), a = 2 m/s², t = 5 s. v = 0 + 2·5 = 10 m/s; s = 0 + ½·2·5² = 25 m.

Common uses

Vehicle braking and acceleration distances, train and runway calculations, and exam problems — any straight-line motion with steady acceleration.

Frequently asked questions

What is the formula for SUVAT?

SUVAT uses the formula v = u + at · s = ut + ½at² · v² = u² + 2as. The five constant-acceleration equations — give any three, get the rest.

How do you calculate SUVAT?

Choose which variable to solve for, enter the values you know (in any supported unit), and the calculator substitutes them into v = u + at · s = ut + ½at² · v² = u² + 2as and shows every step of the working. It can solve for Any 2 of s, u, v, a, t.

Is the SUVAT calculator free to use?

Yes — every Physics Fundamentals calculator is completely free, with no login, no ads and no usage limits.