Learning Mission

Equations of Motion Calculator

Enter any three known values, solve the constant-acceleration equations, and inspect every physically valid positive-time answer.

Use SI units and choose one positive direction before entering signed values.

Enter exactly three known values and leave the other two boxes empty. Time must be greater than zero; velocity, acceleration, and displacement may be negative.

Known motion values

The equations assume straight-line motion with constant acceleration.

metres per second (m/s)
metres per second (m/s)
metres per second squared (m/s2)
seconds (s)
metres (m)

0 of 3 values entered

Your motion diagram will appear hereChoose a quick example or enter three known values.

Positions are shown relative to the starting point. Equal time intervals do not always produce equal spacing.

Calculated results

Waiting for input

The calculator checks all three constant-acceleration equations before displaying a solution.

Show calculation steps

Calculate a motion problem to see the substitutions and checks.

Four constant-acceleration equations

Choose an equation that does not contain the variable you want to avoid.

v = u + atLinks velocity, acceleration, and time.
s = ut + 1/2 at2Finds displacement from initial velocity.
v2 = u2 + 2asConnects velocity and displacement without time.
s = (u + v)t / 2Uses average velocity for constant acceleration.