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?

Enter at least three compatible values. Fewer than three are generally under-determined; when extra values are supplied, the tool checks that they are consistent with constant-acceleration motion.

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

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

This kinematics calculator applies the five standard equations of uniform motion (SUVAT) to find any two unknown variables when three are known. It covers displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t). All calculations run instantly in your browser with no data sent to any server.

How it works

Select the three variables you already know by entering their values.
Leave the two unknown fields blank.
Click "Solve" — the calculator picks the applicable SUVAT equations.
Results appear instantly with the equation used for each unknown.
Change any value and click "Solve" again to recalculate.

Use cases

Solve projectile motion problems in physics class.
Find braking distance of a vehicle given initial speed and deceleration.
Calculate final velocity after constant acceleration over a known time.
Determine time of flight for an object launched horizontally.
Check homework answers for uniformly accelerated motion.
Verify engineering calculations for linear actuators or conveyor systems.

Frequently Asked Questions

Last updated: 2026-05-23 · Reviewed by Nham Vu