What is uniform acceleration?

Uniform acceleration (also called constant acceleration) means the acceleration does not change over time. A classic example is free fall near Earth's surface where g ≈ 9.81 m/s² acts constantly (ignoring air resistance). The SUVAT equations apply only when acceleration is constant.

Which three variables do I need to enter?

Any combination of three out of the five (u, v, a, s, t) is sufficient to solve for the remaining two, as long as the values are physically consistent. The most common inputs are u, a, t (solve for v and s) or u, v, a (solve for t and s).

Can I use negative values?

Yes. Negative values indicate direction. A negative acceleration means deceleration (the object is slowing down if moving in the positive direction). Negative displacement means motion in the negative direction. Time (t) must be zero or positive.

What are the five SUVAT equations?

The five standard equations for uniform acceleration are: (1) v = u + at, (2) s = ut + ½at², (3) v² = u² + 2as, (4) s = ½(u + v)t, and (5) s = vt − ½at². Each equation omits one of the five variables, so the choice of equation depends on which variable is unknown.

Why does the calculator sometimes show "no real solution"?

This occurs when the three inputs are physically inconsistent. For example, if acceleration is positive but final velocity is less than initial velocity with positive time, no real solution exists. Check that your inputs are consistent with the direction of motion you intend.

What unit systems are supported?

SI units (meters, meters per second, meters per second squared) and imperial units (feet, feet per second, feet per second squared). The calculator is also unit-agnostic — you can enter any consistent set of units as long as length, velocity, and acceleration share the same base unit.

Uniform Acceleration Calculator

Name: Uniform Acceleration Calculator
Availability: InStock
Author: Nham Vu

Enter any three kinematic variables (initial velocity, final velocity, acceleration, displacement, time) and instantly solve for the remaining two with full working shown.

Unit System

Enter Any Three Values

Leave the two unknowns blank. Time must be ≥ 0.

u — Initial Velocity

m/s

v — Final Velocity

m/s

a — Acceleration

m/s²

s — Displacement

t — Time

SUVAT Equations

v = u + at

s = ut + ½at²

v² = u² + 2as

s = ½(u + v)t

s = vt − ½at²

Enter three known values and click Calculate

Results and step-by-step working will appear here

Summary

Enter any three kinematic variables (initial velocity, final velocity, acceleration, displacement, time) and instantly solve for the remaining two with full working shown.

How it works

Choose your preferred unit system (SI: m/s/s² or imperial: ft/s/ft/s²).
Enter values for exactly three of the five variables: u, v, a, s, or t.
Leave the two unknowns blank.
Click "Calculate" — the solver selects the correct SUVAT equations automatically.
Review the results and the step-by-step working showing which equation was applied.
Click "Reset" to clear all fields and start a new problem.

Use cases

Solving physics homework involving uniform acceleration.
Calculating braking distance given initial speed and deceleration.
Finding final velocity of a free-falling object after a given time.
Determining acceleration from measured displacement and time.
Verifying engineering calculations for linear motion systems.
Studying for AP Physics or A-level mechanics exams.
Computing runway length needed for an aircraft to reach takeoff speed.
Finding time for a car to accelerate from rest to highway speed.

Frequently Asked Questions

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