Graph the Function Over a One-Period Interval $\theta$ To the Horizontal with an Initial Speed

Multiple Choice

Graph the function over a one-period interval.
-The path of a projectile fired at an inclination $\theta$ to the horizontal with an initial speed $\mathrm { v } _ { \mathrm { O } }$ is a parabola. The range $\mathrm { R }$ of the projectile, the horizontal distance that the projectile travels, is found by the formula $\mathrm { R } = \frac { \mathrm { v } _ { \mathrm { O } } { } ^ { 2 } \sin 2 \theta } { \mathrm { g } }$ where $\mathrm { g } = 32.2$ feet per second per second or $\mathrm { g } = 9.8$ meters per second per second. Find the range of a projectile fired with an initial velocity of 146 feet per second at an angle of $27 ^ { \circ }$ to the horizontal. Round your answer to two decimal places.

A) $535.56 \mathrm { ft }$
B) $535.46 \mathrm { ft }$
C) $300.54 \mathrm { ft }$
D) $601.07 \mathrm { ft }$