Science & physics

Free fall calculator

How long an object takes to fall and how fast it hits the ground, without air resistance.

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How it works

h = v0 t + g t² / 2, so t = (−v0 + √(v0² + 2gh)) / g. Impact speed v = √(v0² + 2gh).

Results are for guidance only and do not replace professional advice.

Worked example

With the default values:

  • Drop height (m)20
  • BodyEarth (9.81 m/s²)
  • Initial downward speed (m/s)0

you get:

  • Fall time2.02 s
  • Impact speed19.81 m/s (71.3 km/h)
  • Distance in the last second14.9 m
  • Same as a car crash at71 km/h

Frequently asked questions

How does the “Free fall calculator” tool work?

h = v0 t + g t² / 2, so t = (−v0 + √(v0² + 2gh)) / g. Impact speed v = √(v0² + 2gh).

What do I need to enter?

Just fill in: drop height, body, initial downward speed. The result updates as you type.

Can you give an example?

Drop height (m): 20; Body: Earth (9.81 m/s²); Initial downward speed (m/s): 0 → Fall time: 2.02 s; Impact speed: 19.81 m/s (71.3 km/h).

Is this calculator free, and is my data private?

Yes. HOD Calc is completely free with no sign-up. The calculation runs in your browser: nothing you type is sent or stored.