Skip to main content

Formula Free fall / Inclined plane Velocity    Starting height    Height   

Formula
Formula: Free fall / Inclined plane

Velocity

Unit
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

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

Height

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

Gravitational acceleration

Unit
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.