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

question 30

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.
$\theta = 55 ^ { \circ } , \quad v _ { 0 } = 56 \text { feet per second }$

• A) maximum height \(\approx 49\) feet range \(\approx 4\) feet
• B) maximum height \(\approx 4\) feet range \(\approx 49\) feet
• C) maximum height \(\approx 33\) feet range \(\approx 92\) feet
• D) maximum height \(\approx 92\) feet range \(\approx 33\) feet
• E) maximum height \(\approx 43\) feet \(\quad\) range \(\approx 8\) feet

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