Free fall acceleration from height

Free fall is any motion of a body where gravity is the only force acting upon it. Free fall acceleration is the acceleration the body experiences during the free fall.

Notation:

  1. \(G\) (G) is gravitational_constant.

free_fall_acceleration

Free fall acceleration of the body.

Symbol:

a

Latex:

\(a\)

Dimension:

acceleration

planet_radius

radius of the planet.

Symbol:

r

Latex:

\(r\)

Dimension:

length

elevation

Elevation (height) of the body from the planet’s surface.

Symbol:

h

Latex:

\(h\)

Dimension:

length

planet_mass

mass of the planet.

Symbol:

m

Latex:

\(m\)

Dimension:

mass

law

a = G * m / (r + h)^2

Latex:
\[a = \frac{G m}{\left(r + h\right)^{2}}\]