Projectile Motion+ Air Resistance
Interactive 2D Kinematics Simulator
Drag the 🎯 zone to reposition
Parameters
Real-World Object
Mass: 0.145 kgCd: 0.47
Launch Angle45.0 °
Initial Velocity30.0 m/s
Mass0.145 kg
Drag Coefficient (Cd)0.470
Air Density1.225 kg/m³
Path Visibility
Live Analysis
Ideal Range
91.7 m
Max Height
22.9 m
Flight Time (vac)
4.32 s
Terminal Velocity
33.9 m/s
Teaching Notes
📏
In a vacuum, 45° maximizes range. With drag, the optimal angle is lower (≈35–40°) because drag penalizes high arcs that spend more time at speed. Try 38° and compare!
🚀
Adjust parameters, then press Launch to simulate. Drag the 🎯 target on the canvas. Toggle both paths + shading to see the drag deficit region.