HomeCalculatorsPhysicsFree Fall Calculator
Physics calculator

Free Fall Calculator

Free-fall distance, speed, or time under constant g (optional initial velocity). 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 (fall, invalid-domain) · Matrix
Known limitations
  • Constant g; no drag
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
v=u+gt, s=ut+½gt² with default g=9.80665 m/s².
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 794cf278f6df
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
  • CGPM / standard gravity gₙ — gₙ = 9.80665 m/s²
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.

Distances = u t + ½ g t²
Speedv = u + g t
iSI units unless noted.

How to use

1

Enter initial velocity and time

Use u in m/s and t in seconds (t > 0 for distance grown with time).

2

Confirm gravity if needed

Default g ≈ 9.81 m/s² unless the form lets you override.

3

Read displacement and speed

Uses s = u t + ½ g t² and v = u + g t (downward positive convention as labeled).

Example calculations

Common configurations with formula and result.

ϟ

Example

validation

—
t=2 → s≈19.613 m

Free Fall 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
v=u+gt, s=ut+½gt² with default g=9.80665 m/s².
What it calculates
v=u+gt, s=ut+½gt² with default g=9.80665 m/s².
Inputs
  • see form
Outputs
  • see API
Formula
see formulas
Assumptions
  • Documented on page
Units
  • SI
Boundary conditions
  • coded hard errors
Example
t=2 → s≈19.613 m
Validation cases

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

  • see suite → s=19.6133
Sources
  • Intro physics / NIST units — standard relations
    Supports: engine formulas
  • CGPM / standard gravity gₙ — gₙ = 9.80665 m/s²
    Supports: Free-fall kinematics under pinned g
Last reviewed
2026-08-09
Reviewed by
CalculatorX physics review
Calculation version
1.0.0

Background

Interpretation and common distinctions.

v=u+gt, s=ut+½gt² with default g=9.80665 m/s².

Supported and not supported

Supported — API physics.kinematics.free_fall

Not supported — air resistance

Agent / API notes

Capability id: physics.kinematics.free_fall · tool id: free-fall · 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.

Is drag included?

No — vacuum / no-drag model only.