AirResistanceSimulation

Wolfram animation of the motion of a body thrown at an angle to the horizon with air resistance

Demonstration

Trajectory of a thrown body depending on Air resistance coefficient

$$ m\frac{\mathrm{d}^2 x}{\mathrm{d^2} t}=-\beta \cdot \frac{\mathrm{d} x}{\mathrm{d} t} cos \theta $$

$$ m\frac{\mathrm{d}^2 y}{\mathrm{d^2} t}=-\beta \cdot \frac{\mathrm{d} y}{\mathrm{d} t} sin \theta -mg $$

$F=- \beta v$ — Force of air resistance
$\beta$ — Air resistance coefficient
$g$ — Free-fall acceleration
$v$ — Velocity