# What is the equation for the motion of a ballistic projectile?

Feb 21, 2018

The equation for the motion of a ballistic projectile is four in number...

#### Explanation:

The equations are listed below;

$\frac{\mathrm{dv}}{\mathrm{dt}} = - g \sin \theta - g k {v}^{2} \to e q n 1$

$\frac{d \theta}{\mathrm{dt}} = - \frac{g \cos \theta}{v} \to e q n 2$

$\frac{\mathrm{dx}}{\mathrm{dt}} = v \cos \theta \to e q n 3$

$\frac{\mathrm{dy}}{\mathrm{dt}} = v \sin \theta \to e q n 4$

Hope this helps!