Free Fall Calculator

In free fall, gravity is the only force acting, so every object speeds up at the same rate — about 9.81 m/s² near Earth's surface. This lets you work out fall time, distance and impact speed.

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Type in any field to change it. Press × on a value to calculate that field instead.
010203040020406080100Fall height (m)Your value

Impact speed (m/s) vs Fall height (m) — other inputs held at your current values.

How to use the free fall calculator

Enter the height, the fall time or the impact speed — the other two are calculated. Results ignore air resistance, which is accurate for short drops of dense objects.

Free fall formulas

h = ½ g t² v = g t v = √(2gh)

Worked example

A stone dropped from 20 m:

  • t = √(2 × 20 ÷ 9.81) = 2.02 s
  • v = 9.81 × 2.02 = 19.8 m/s (71 km/h)

Air resistance and terminal velocity

Real objects do not keep accelerating. Air resistance grows with speed until it balances weight, and the object falls at terminal velocity:

Object Approximate terminal velocity
Raindrop 9 m/s (32 km/h)
Skydiver, belly down 55 m/s (200 km/h)
Skydiver, head down 80–90 m/s (300 km/h)
Feather under 1 m/s

The calculator ignores air resistance, so it is accurate for short drops of dense objects, but overestimates speed for long falls.

Time and speed for each second

Time Distance fallen Speed
0.5 s 1.2 m 4.9 m/s (18 km/h)
1 s 4.9 m 9.8 m/s (35 km/h)
1.5 s 11.0 m 14.7 m/s (53 km/h)
2 s 19.6 m 19.6 m/s (71 km/h)
3 s 44.1 m 29.4 m/s (106 km/h)
4 s 78.5 m 39.2 m/s (141 km/h)
5 s 122.6 m 49.0 m/s (177 km/h)

Distance grows with the square of time: in 2 seconds an object falls four times as far as in 1 second.

Galileo’s insight

Without air resistance, all objects fall at the same rate regardless of mass. Astronaut David Scott demonstrated this on the Moon in 1971 by dropping a hammer and a feather, which landed together.

Measuring a well’s depth

Drop a stone and time the splash. If it takes 2 s, the depth is about 19.6 m (a little less once you allow for the time sound takes to travel back up).

Fall distances

Time Distance Speed
1 s 4.9 m 9.8 m/s
2 s 19.6 m 19.6 m/s
3 s 44.1 m 29.4 m/s
4 s 78.5 m 39.2 m/s

Frequently asked questions

How long does it take to fall 20 m?

About 2.02 seconds, reaching about 19.8 m/s (71 km/h), ignoring air resistance.

Do heavy objects fall faster?

Not in a vacuum — all objects accelerate at the same rate. In air, drag slows light or large objects more.

What is terminal velocity?

The speed at which air resistance balances gravity. For a skydiver in a belly-down position it is about 200 km/h.

How long does it take to fall 100 m?

About 4.5 seconds, ignoring air resistance, reaching about 44 m/s.

Does a heavier object fall faster?

Not in a vacuum. In air, heavier dense objects are less slowed by air resistance, so they can reach the ground sooner.

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