Throw without Air Resistance Calculator

Calculation of the maximum range of a throw from a certain height and of the ideal angle of throwing with the trajectory. The air resistance can almost be neglected for compact, dense objects at normal throwing speed.

R_max = v₀/g * √ v₀² + 2gh₀

v₀ = √ (-2gh₀ + √ 4g²h₀² + 4R_max²g² ) /2

α = asin( √ 1/2 - h₀/(2√ R_max² + h₀² ) )