Chapter 1.1, Problem 55E

For the following exercises, use a graphing utility to graph the curve represented by the parametric equations and identify the curve from its equation.

55. The trajectory of a bullet is given by $x=v_0\left(\cos \alpha \right)ty=v_0\left(\sin \alpha \right)t-\frac{1}{2}g{t}^2$ where $v_0=500\text{m/s},g=9.8=9.8{\text{m/s}}^{\text{2}}$ and $\alpha =30\text{degrees}$ . When will the bullet hit the ground? How far from the gun will the bullet hit the ground?