Mechanics

Projectile Range

Horizontal range of a projectile launched from ground level.

Variables

R
Range
Horizontal distance traveled
m
v₀
Initial velocity
Launch speed
m/s
θ
Launch angle
Angle above horizontal
°
g
Gravitational acceleration
≈ 9.8 m/s²
m/s²

Derivation

Combine horizontal and vertical motion equations, solve for x when y = 0.

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