A Projectile Is Launched from Ground Level at an Angle $\theta$

Multiple Choice

A projectile is launched from ground level at an angle of $\theta$ with the horizontal. The initial velocity is $v _ { 0 }$ feet per second and the path of the projectile is modeled by the parametric equations
$$x = \left( v _ { 0 } \cos \theta \right) t \text { and } y = \left( v _ { 0 } \sin \theta \right) t - 16 t ^ { 2 } \text {. }$$
Use a graphing utility to graph the paths of a projectile launched from ground level with the values given for $\theta$ and $v _ { 0 }$ . Use the graph to approximate the maximum height and range of the projectile to the nearest foot.
$$\theta = 50 ^ { \circ } , \quad v _ { 0 } = 104 \text { feet per second }$$

A) maximum height $\approx 12$ feet range $\approx 171$ feet
B) maximum height $\approx 171$ feet range $\approx 12$ feet
C) maximum height $\approx 99$ feet range $\approx 333$ feet
D) maximum height $\approx 333$ feet range $\approx 99$ feet
E) maximum height $\approx 38$ feet range $\approx 8$ feet