Free Fall Calculator
Free fall calculator: fall height from time or time from height, plus impact speed, ignoring air resistance.
h = ½ g t²
How to use this calculator
- Choose the quantity you want under “Solve for”.
- Type the known values and pick their units: any combination works.
- The result updates as you type. Open “Show the steps” to see the substitution.
Starting from rest, h = ½·g·t² and v = g·t with g = 9.81 m/s².
Real objects fall slower once air resistance matters.
Formula
h = ½ g t²
| Symbol | Quantity | Units |
|---|---|---|
| t | Fall time | s, ms, µs, ns, min, h, d, wk, yr |
| h | Fall height | m, km, cm, mm, µm, nm, pm, Å, in, ft, yd, mi, nmi, au, ly |
Constants used: g = 9.80665 m/s²
Worked example
Given: t = 3 s
h = ½ g t²
Result: h = 44.1299 m
Frequently asked questions
How far does an object fall in 3 s?
About 44.1 m, reaching about 106 km/h.