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physics

Free Fall Calculator

Calculate fall time and impact velocity for an object dropped from height, or distance and speed after a fall time.

Fall time
2.02 s
Assumes no air resistance. Formula: t = √(2h ÷ g).
Impact velocity (m/s)
19.81 m/s
In km/h
71.3 km/h
In m/s
19.806 m/s

How it works

  1. 1Choose whether you know the drop height or the fall time.
  2. 2Enter your value; the unit toggle switches all dimensional fields between metric and imperial.
  3. 3Results are computed instantly using the kinematic equations t = √(2h ÷ g) and v = √(2gh), with g = 9.80665 m/s².

Use cases

  • Physics students verifying free-fall lab measurements.
  • Engineers estimating impact speed for safety and packaging design.
  • Game developers tuning gravity and jump mechanics with real physics.

Frequently asked questions

What formulas does this calculator use?

For a known drop height h: fall time t = √(2h ÷ g) and impact velocity v = √(2gh), where g ≈ 9.807 m/s². For a known fall time t: distance d = ½gt² and velocity v = gt. For example, dropping an object from 20 m gives t = √(40 ÷ 9.807) ≈ 2.02 s and v = √(2 × 9.807 × 20) ≈ 19.8 m/s.

Does this account for air resistance?

No. The calculator assumes ideal free fall in a vacuum. In reality, air resistance (drag) slows the object, making actual fall times longer and impact velocities lower than shown — especially for light or large objects at high speeds.

Can I use imperial units?

Yes. Toggle the unit system to imperial at the top. Heights are entered in feet and velocities are shown in ft/s. The core always computes in SI (metres, m/s) and converts the display values for you.

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