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

Physics

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

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

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