Physical Principles & Mathematical Derivation
At realistic speeds, turbulent air drag scales with speed squared, coupling horizontal and vertical equations of motion through |v| = √(vx² + vy²) so closed-form algebraic solutions no longer exist — making RK4 numerical integration essential.
Questions & Concepts
What physical equation governs Quadratic Aerodynamic Drag & Terminal Velocity Ballistics Lab?
F_drag = −kd × |v| × v, KE + PE + E_thermal = E_initial — At realistic speeds, turbulent air drag scales with speed squared, coupling horizontal and vertical equations of motion through |v| = √(vx² + vy²) so closed-form algebraic solutions no longer exist — making RK4 numerical integration essential.
How are the equations of motion integrated in this simulation?
Nonlinear differential equations are integrated at 240–300 Hz substeps using classical 4th-order Runge-Kutta (RK4) to maintain strict Hamiltonian energy accuracy.