Maximum height from initial speed

The maximum height that a body thrown vertically will rise to depends on the initial speed.

Notes:

1. If the body is launched at an arbitrary angle to the horizontal, this formula is still applicable but you must use the projection of the velocity vector on the \(z\) axis as the initial speed.

Conditions:

1. The body is thrown “upwards”, i.e. in the direction opposite to that of the free fall acceleration vector.

Links:

1. Wikipedia, fifth formula.

maximum_height

The maximum height that the object will reach.

Symbol:

h

Latex:

\(h\)

Dimension:

length

initial_speed

The initial speed of the object. Note that it is the projection of the body’s velocity vector on the \(z\)-axis.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

law

h = v^2 / (2 * g)

Latex:

\[h = \frac{v^{2}}{2 g}\]