Drag · aim · fire

🎯 Projectile Motion

Drag right on the canvas to aim like a slingshot — or set speed, angle and launch height with sliders — then fire and watch the arc live: range, peak and flight time against the ideal formula, with air drag toggled on Earth, the Moon or Mars.

simulated

The ideal (no-drag) formulas: T = (v₀·sinα + √((v₀·sinα)² + 2·g·h₀)) / g, R = v₀·cosα·T, H = h₀ + (v₀·sinα)²/(2g). With h₀ = 0 and no drag, 45° gives the longest range — try the angle sweep, then turn on air drag and watch 45° lose its crown.