Velocity Calculator

Find final velocity, initial velocity, acceleration or time under constant acceleration.

Solve for	Final velocity
Initial velocity	5 m/s
Acceleration	2 m/s²
Time	10 s

Solve for

Initial velocity

m/s

Acceleration

m/s²

Time

Final velocity

25 m/s

Initial velocity 5 m/s, Acceleration 2 m/s², Time 10 s. Distance covered 150 m

Velocity over time: the shaded area is the distance

Final velocityat (10, 25)Point at the chart, or Tab to it and use ← →

Final velocity: (10, 25)

About the Velocity Calculator

Choose what to find (final velocity, initial velocity, acceleration or time) and enter the other three. The result also gives the distance covered and a velocity–time graph.

With constant acceleration, velocity changes by a × t, so v = u + at. The distance covered is the average velocity times time, (u + v) ÷ 2 × t. Velocity is a vector: a negative value means the opposite direction.

The formula

v = u + a t; s = (u + v) t ÷ 2

Worked example

Starting at 5 m/s and accelerating at 2 m/s² for 10 s

v = 5 + 2 × 10 = 25 m/s
Distance: (5 + 25) ÷ 2 × 10 = 150 m

Questions people ask

Velocity vs speed?

Velocity includes direction; speed is its magnitude.

Do these equations work when acceleration changes?

No. They assume constant acceleration; when it changes, use calculus or work in small time steps.