Projectile Motion Calculator

Calculate range, max height, and flight time for a projectile (no air resistance). Optionally include launch height.

Default Earth gravity: 9.81 m/s².
Speed at launch.
Angle above horizontal (0–90).
Set 0 if launched from ground level.
vₓ = v₀ cosθ, vᵧ = v₀ sinθ
t = (vᵧ + √(vᵧ² + 2gh₀)) / g
Range = vₓ · t
Max height = h₀ + vᵧ² / (2g)
Ideal motion (no drag).
With h₀ = 0, the maximum range occurs at ~45° (in the ideal model).
Air resistance changes real outcomes.