Projectile motion

Projectile motion is a combination of uniform horizontal motion and uniformly varying vertical motion. The initial velocity is split into the components $v_x=v_0\cos\alpha$ and $v_y=v_0\sin\alpha$.

For a launch from ground level ($h_0=0$):

$t_{flight}=\frac{2v_0\sin\alpha}{g}\quad R=\frac{v_0^2\sin2\alpha}{g}\quad h_{max}=\frac{v_0^2\sin^2\alpha}{2g}$

The greatest range is given by an angle of 45°. The calculator also handles a launch from a height $h_0>0$ (and horizontal projectile motion as $\alpha=0$), and it draws the trajectory with the highest point marked.