Code tool

Kinematic Velocity & Motion Calculator

Choose a positive axis. Velocity, acceleration and displacement are signed; displacement is not total distance traveled. No air resistance, variable acceleration or real-world prediction is included.

In-browser processingNo account requiredPrivacy details ↗

Enter exactly three known values; leave the other two blank. Use m/s, m/s², s and m. Velocities, acceleration and displacement are signed; time must be nonnegative.

Enter values to begin.

Equation: v = u + at; s = ut + ½at²; s = (u + v)t/2; v² = u² + 2as

The model assumes constant acceleration in one dimension. All ten combinations of three known values are supported; all nonnegative time roots are shown.

Candidates must satisfy v = u + at and s = ut + ½at² within 10⁻⁹ × max(1, absolute values of the compared sides and terms). Overflow or unreliable precision is rejected.

Equation reference: OpenStax · 2.5

A QUICK WALKTHROUGH

How to use this tool

  1. Enter exactly three known values; leave the other two blank. Use m/s, m/s², s and m. Velocities, acceleration and displacement are signed; time must be nonnegative.
  2. Use the displayed SI units; leave unknown fields blank.
  3. All finite solutions calculated locally.

Supported equations

The model assumes constant acceleration in one dimension. All ten combinations of three known values are supported; all nonnegative time roots are shown. v = u + at; s = ut + ½at²; s = (u + v)t/2; v² = u² + 2as.

Units and limits

Candidates must satisfy v = u + at and s = ut + ½at² within 10⁻⁹ × max(1, absolute values of the compared sides and terms). Overflow or unreliable precision is rejected. These inputs do not determine a unique finite set of solutions. Supply a different set of three known values.

GOOD TO KNOW

Common questions

Is displacement total distance?

No. It is signed change in position; reversal of direction can make total traveled distance greater.

Does this predict real motion?

No. It is an educational constant-acceleration model, without drag or changing forces.