Derive the differential equation(s) describing the given physical situation. A projecti...

Derive the differential equation(s) describing the given physical situation.

A projectile shot from a gun has weight w = mg and velocity v tangent to its path of motion. Ignoring air resistance and all other forces except its weight, find the system of differential equations that describes the motion. See Figure 1.20. [Hint: Use Newton's second law in the x and y direction.]