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Write the Following as an Algebraic Expression in U, U θ\theta

Question 390

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
-The optimal angle of elevation θ\theta that a shot-putter should aim for in order to throw the greatest distance depends on the velocity v\mathrm { v } of the throw and the initial height h\mathrm { h } of the shot. One model for θ\theta that achieves this maximum distance is θ=sin1(v22v2+64 h) \theta = \sin ^ { - 1 } \left( \sqrt { \frac { \mathrm { v } ^ { 2 } } { 2 \mathrm { v } ^ { 2 } + 64 \mathrm {~h} } } \right) . Suppose a shot-putter can consistently release the steel ball with velocity of 49 feet per second from an initial height hh of 5.15.1 feet. What angle, to the nearest degree, will maximize the distance?


A) 7474 ^ { \circ }
B) 7070 ^ { \circ }
C) 4747 ^ { \circ }
D) 4343 ^ { \circ }

Correct Answer:

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