Kinematics Calculator

Solve constant-acceleration motion for displacement, velocity, acceleration, or time using the standard equations of motion. Calculates in your browser.

Enter any three values, the rest are solved.

Initial velocity u-
Final velocity v-
Acceleration a-
Time t-
Displacement s-

Show the math

The SUVAT equations relate constant-acceleration motion:

v = u + at  ·  s = ut + ½at²  ·  v² = u² + 2as

Give any three of u, v, a, t, s and the calculator finds the other two. Use a = 9.81 m/s² for free fall. All math runs in your browser.

What this does

A kinematics calculator solves constant-acceleration motion for displacement, velocity, acceleration, or time using the standard equations of motion.

How to use it

  1. Enter the values you know.
  2. Leave the unknown blank.
  3. Read the solved quantity.
  4. Use 9.81 m/s² for free fall.

How it works

These three equations relate initial velocity u, final velocity v, acceleration a, displacement s, and time t for constant acceleration.

v = u + at; s = ut + ½at²; v² = u² + 2as

Understanding your result

These equations only hold for constant acceleration, so they are exact for idealised motion but a simplification of the real world, which usually adds air resistance and varying forces. Mind your signs, a deceleration is a negative acceleration, and keep units consistent, since mixing metres with kilometres or seconds with hours is the most common source of a wrong answer.

Example

From rest at 2 m/s² for 5 s, you reach 10 m/s over 25 m.

Sources & methodology

Last updated .

Frequently asked questions

Which equations does this use?

The constant-acceleration set: v = u + at, s = ut + ½at², and v² = u² + 2as, where u is initial and v is final velocity.

Does it handle free fall?

Yes — enter acceleration as 9.81 m/s² (gravity) and leave the unknown blank to solve drops and throws.

Is my data stored?

No. Everything is calculated locally in your browser.