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Physics calculator

SUVAT Calculator

Constant-acceleration kinematics: solve v, s, a, or t (SUVAT). Runs locally in your browser.

Instant result
Result
—

Enter values to calculate.

Inputs—
Mode—
Formula—
Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance
Input interpretation
Enter values to calculate.
Result
—
Assurance
Engineering
Declared partition coverage
PASS · 2/2 declared partitions (suvat, invalid-domain) · Matrix
Known limitations
  • Constant acceleration 1D
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
Constant a: v=u+at, s=ut+½at², a=(v−u)/t, t=(v−u)/a, s=(u+v)t/2.
Scope
Documented on page
Verification
Engine tested · Source checked · v1.0.0 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity
1/1 property · digest a303cf473d1e
Legacy regression
3/3 tests · Production surface contract 3/3
Reference
O1 model · O2 expected_values · O2 numerical_behavior
Interfaces
PASS · UI (SSR) / REST / MCP — ui-ssr is query-result HTML, not a live browser session.
Supplemental domain review
Internal · Pass
Named expert review
Not performed
CVP suite
1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 1/1 CVP contract · Manifest
Sources
  • Intro physics / NIST units — standard relations
  • ISO 80000-3 — Space and time — Kinematics
Sources
Evidence
1 legacy golden · 1 legacy boundary · legacy regression suite · 1/1 oracle-backed golden · 1/1 invalid · Artifact integrity PASS · CalculatorX physics review
This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓
Semantic contract
PASS
Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

vv = u + a t
ss = u t + ½ a t²
iSI units unless noted.

How to use

1

Enter any three of s, u, v, a, t

Leave unknowns blank. Not every triplet has a unique solution.

2

Confirm sign convention

Pick a positive direction and keep acceleration/velocity signs consistent.

3

Read the solved SUVAT values

Uses the standard equations (e.g. v = u + a t, s = ut + ½at²).

Example calculations

Common configurations with formula and result.

ϟ

Example

validation

—
u=0 a=2 t=3 → v=6

SUVAT calculator specification

Version 1.0.0 · Engine tested · Supplemental domain review · Internal · 2026-08-09

Calculation status

Review policy · Evidence · Reviewed by CalculatorX physics review

Definition
Constant a: v=u+at, s=ut+½at², a=(v−u)/t, t=(v−u)/a, s=(u+v)t/2.
What it calculates
Constant a: v=u+at, s=ut+½at², a=(v−u)/t, t=(v−u)/a, s=(u+v)t/2.
Inputs
  • see form
Outputs
  • see API
Formula
see formulas
Assumptions
  • Documented on page
Units
  • SI
Boundary conditions
  • coded hard errors
Example
u=0 a=2 t=3 → v=6
Validation cases

1 published on this page · 3/3 tests · Production surface contract 3/3 · View evidence

  • see suite → v=6
Sources
  • Intro physics / NIST units — standard relations
    Supports: engine formulas
  • ISO 80000-3 — Space and time — Kinematics
    Supports: SUVAT equations under constant a
Last reviewed
2026-08-09
Reviewed by
CalculatorX physics review
Calculation version
1.0.0

Background

Interpretation and common distinctions.

Constant a: v=u+at, s=ut+½at², a=(v−u)/t, t=(v−u)/a, s=(u+v)t/2.

Supported and not supported

Supported — API physics.kinematics.suvat

Not supported — variable acceleration

Agent / API notes

Capability id: physics.kinematics.suvat · tool id: suvat · pin 1.0.0.

Other calculators in this family: Force F=ma, Projectile .

F Force F=ma › θ Projectile ›
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Frequently asked questions

Key distinctions behind the calculation.

What if a=0 when solving t?

API returns VALUE_MUST_BE_POSITIVE for a.