SUVAT Equations Calculator

Find final velocity and displacement from the equations of motion.

Inputs

m/s
m/s²
s
Formulas
v = u + a·t
s = u·t + ½·a·t²

Results

Final velocity m/s
Displacement m

The SUVAT equations

The SUVAT equations describe motion with constant acceleration. The letters stand for displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t). Given any three of these, the others can be found. This calculator uses v = u + at and s = ut + ½at² to find the final velocity and displacement.

s = u·t + ½·a·t²

When can I use them?

The SUVAT equations only apply when acceleration is constant, such as objects in free fall or vehicles braking steadily. They do not work when acceleration changes during the motion. Enter the initial velocity, acceleration, and time to predict where the object ends up and how fast it is moving.

Frequently asked questions

Can I use SUVAT for free fall?

Yes. Free fall has constant acceleration equal to g, so set a = 9.81 m/s² and use the equations directly.

What if acceleration is not constant?

Then SUVAT does not apply, and you need calculus to integrate the varying acceleration over time.

Read the full guide