SUVAT (Equations of Motion) Calculator

Solve for any two unknown kinematic variables given the other three for constant acceleration.

Known Variables (Provide exactly 3)

Displacement (s) (m)

Initial Velocity (u) (m/s)

Final Velocity (v) (m/s)

Acceleration (a) (m/s²)

Time (t) (s)

Calculation Results

Provide exactly 3 inputs to solve

About this calculator

Quick Reference

sDisplacement (change in position)

uInitial velocity

vFinal velocity

aConstant acceleration

tTime interval

Overview

SUVAT equations (or Kinematic equations) are a set of formulas used to describe the motion of objects under constant acceleration.

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Pro Tips

You must provide exactly three values to solve for the other two.
The five variables are: s (displacement), u (initial velocity), v (final velocity), a (acceleration), and t (time).
Common equations: v = u + at, s = ut + 0.5at², v² = u² + 2as.

Fun Facts

"These equations were used to calculate the trajectories of cannonballs long before they were applied to rockets and cars."
"In the absence of air resistance, a falling object's acceleration (a) is simply gravity: 9.81 m/s²."
"Galileo was the first to realize that the distance traveled by a falling object is proportional to the square of the time taken."

Formula: v = u + at, s = ut + ½at²