What are the SUVAT equations?

SUVAT stands for the five kinematic variables: s (displacement), u (initial velocity), v (final velocity), a (acceleration), and t (time). The five equations are: v = u + at; s = ut + ½at²; v² = u² + 2as; s = ½(u + v)t; s = vt − ½at².

Do I need to enter exactly three values?

Yes. With fewer than three known values the system is under-determined and has infinitely many solutions. With all five filled in, the tool still solves and checks consistency.

What units should I use?

The calculator is unit-agnostic — use any consistent set (e.g., meters and seconds, or feet and seconds). Just make sure all your inputs share the same unit system.

Can I use negative values?

Yes. Negative values are valid for direction — for example, a negative acceleration indicates deceleration, and negative displacement means motion in the opposite direction.

What if the equations give no real solution?

This happens when the three known values are physically inconsistent (e.g., a positive acceleration but final velocity less than initial velocity with positive time). The calculator will display an error message explaining the issue.

Kinematics Calculator

Name: Kinematics Calculator
Availability: InStock
Author: Nham Vu

Enter any three known kinematic variables and instantly solve for the remaining two using the five SUVAT equations.

Enter Known Values

Fill in exactly 3 fields. Leave the unknowns blank.

s — Displacement

u — Initial Velocity

m/s

v — Final Velocity

m/s

a — Acceleration

m/s²

t — Time

Enter three known values and click Solve

SUVAT Reference

v = u + at

s = ut + ½at²

v² = u² + 2as

s = ½(u + v)t

s = vt − ½at²

Summary