Chapter 3, Problem 48PE

Prove that the trajectory of a projectile is parabolic, having the form $y=ax+b{x}^2$. To obtain this expression, solve the equation $x=v_{0x}t$ for t and substitute it into the expression for $y=v_{0y}t-\left(1/2\right)g{t}^2$ (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form $y=ax+b{x}^2$ where a and b are constants.