Physics
Intermediate

Projectile Range

Horizontal distance of a projectile on level ground.

Formula

R=v2sin⁡2θgR = \frac{v^2\sin 2\theta}{g}

Variables

vLaunch speed
\thetaAngle
gGravity

Example

Max range at 45°

Did You Know?

A projectile flies farthest when launched at 45°, and complementary angles like 30° and 60° give equal ranges.

motion