Uniform Acceleration Time Calculator

Find the time and distance for uniformly accelerated motion from initial velocity, final velocity, and acceleration.

Input

Enter the initial velocity, final velocity, and acceleration to find the time needed to reach the final velocity in uniformly accelerated motion.

Initial velocity v0 (m/s)

Final velocity v (m/s)

Acceleration a (m/s²)

Time is t=(v−v0)/a and distance is x=v0·t+(1/2)·a·t².

Time t

10 s

Distance x

150 m

Average velocity

15 m/s

Velocity change v−v0

30 m/s

When acceleration is constant, velocity changes linearly with time. The trapezoidal area under the line equals the distance traveled.

The time is found with t=(v−v0)/a, where a is acceleration, v0 is initial velocity, and v is final velocity (a is not zero).
The distance is computed with x=v0·t+(1/2)·a·t². This equals the average velocity (v0+v)/2 multiplied by the time.
All values use SI base units. Velocity is in m/s, acceleration in m/s², time in s, and distance in m.
With zero acceleration the time is not uniquely defined, so it returns an error. Combinations that give a negative time are physically unreachable and also return an error.

Tell us what you think of this calculator.