Free Fall Calculator
Distance fallen and speed reached after a given time of free fall.
Results
Height
44.130
m
Speed
29.420
m/s
Speed
105.91
km/h
Time to fall that height
2.0196
s
Speed on landing
19.8057
m/s
Speed on landing
71.30
km/h
What this tool does
In a vacuum, everything falls at the same rate regardless of mass, gaining about 9.81 m/s of speed every second. Air resistance is ignored here, which matters a great deal for light objects and after a few seconds of falling.
Formula
h = ½ × g × t² , v = g × t
Variables
| Symbol | Meaning | Unit |
|---|---|---|
t | Time | s |
h | Height it falls from | m |
gv | Gravitational acceleration | m/s² |
H | Height | m |
V | Speed | m/s |
VK | Speed | km/h |
TH | Time to fall that height | s |
VH | Speed on landing | m/s |
VHK | Speed on landing | km/h |
Worked example
- Time3 s
- Height it falls from20 m
- Gravitational acceleration9.80665 m/s²
- Height44.130 m
- Speed29.420 m/s
- Speed105.91 km/h
- Time to fall that height2.0196 s
- Speed on landing19.8057 m/s
- Speed on landing71.30 km/h
Limitations
- The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
- The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.