Physics

Projectile with Air Drag

Compare the actual drag-affected trajectory against the no-drag parabola. Uses quadratic air resistance F=½CdρAv² integrated with RK45. Returns range reduction percentage and impact speed.

Fdrag = ½ Cd ρ A v²
INPUTS
Sphere≈0.47 · Football≈0.2 · Bullet≈0.05
Face area (πr²) — 5 cm radius sphere ≈ 78.5 cm²
Sea level 15°C ≈ 1.225 · 3000 m altitude ≈ 0.91
Set your inputs and click Run Simulation