Solve the Problem $\theta$ To the Horizontal with an Initial Speed $v _ { 0 }$

question 293

Multiple Choice

Solve the problem.
-The path of a projectile fired at an inclination $\theta$ to the horizontal with an initial speed $v _ { 0 }$ is a parabola. The range $R$ 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 127 feet per second at an angle of $27 ^ { \circ }$ to the horizontal. Round your answer to two decimal places.

• A) \(454.81 \mathrm { ft }\)
• B) \(405.24 \mathrm { ft }\)
• C) \(227.40 \mathrm { ft }\)
• D) \(405.14 \mathrm { ft }\)

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