# Formula Free fall / Inclined plane Velocity Starting height Height

## Velocity

`$$ v $$`Unit

`$$ \frac{\mathrm m}{\mathrm s} $$`

Current velocity of the falling body. The velocity of the body does not depend on whether the body is dropped straight down or e.g. glides down along an inclined plane (

*frictionless*).For example, a body is dropped from the starting height \(h_0 = 100 \, \text{m}\) above the ground (so the ground represents zero height). Thus, the velocity \(v\) of the body at height \(h = 10 \, \text{m} \) would be:`\[ v ~=~ \sqrt{2g \, (100 \, \text{m} ~-~ 10 \, \text{m})} ~=~ 42 \, \frac{\text m}{\text s} \]`

## Starting height

`$$ h_0 $$`Unit

`$$ \mathrm{m} $$`

It is the height from which the body is dropped or glided on a plane.

## Height

`$$ h $$`Unit

`$$ \mathrm{m} $$`

This is the current height at which the body is located.

## Gravitational acceleration

`$$ g $$`Unit

`$$ \frac{\mathrm{m}}{\mathrm{s}^2} $$`

It is the acceleration - caused by the gravitational force - near the earth's surface. On the Earth it has the approximate value of \( g ~=~ 9.8 \, \frac{\text m}{\text{s}^2} \). On other planets (e.g. on Jupiter) this value is different.