Physics

Projectile Range

Horizontal range of a projectile.

Formula

Formula
R = v2 sin(2θ)g

Variables

SymbolDefinitionType & rangeUnitsRole
v launch speed real number (ℝ) m/s input
θ angle (deg) computed result result
g gravity 9.81 computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenspeed (m/s) = 20, angle (deg) = 45
Result40.78864852
Example 2
Givenspeed (m/s) = 30, angle (deg) = 30
Result79.47901306