A mortar shell is fired with a muzzle speed of $250 \mathrm { ft } / \mathrm { sec }$. Find the angle of elevation of the mortar if the shell strikes a target located $1100 \mathrm { ft }$ away. Round your answer to 2 decimal places.
A) $17.14 ^ { \circ }$
B) $14.69 ^ { \circ }$
C) $0.3 ^ { \circ }$
D) $\quad 0.9 ^ { \circ }$

Question

Quizplus · Accepted Answer

Using the range formula for projectile motion $ R = \frac{v^2 \sin(2\theta)}{g} $, where $ R = 1100 \, \text{ft} $, $ v = 250 \, \text{ft/s} $, and $ g \approx 32.2 \, \text{ft/s}^2 $, solving for $\theta$ gives approximately $17.14^\circ$.

A Mortar Shell Is Fired with a Muzzle Speed Of 250