The optimal angle of elevation θ that a​ shot-putter should aim for in order to throw the greatest distance depends on the velocity v of the throw and the initial height h of the shot. See Figure 1. One model for θ that achieves this greatest distance is  θ=arcsin(*all under squareroot* v2 / 2v2 +64h) Suppose a​ shot-putter can consistently release the steel ball with velocity v of 32 ft per sec from an initial height h of 6.0 ft. What​ angle, to the nearest​ degree, will maximize the​ distance?

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
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The optimal angle of elevation θ that a​ shot-putter should aim for in order to throw the greatest distance depends on the velocity v of the throw and the initial height h of the shot. See Figure 1. One model for θ that achieves this greatest distance is 

θ=arcsin(*all under squareroot* v/ 2v+64h)

Suppose a​ shot-putter can consistently release the steel ball with velocity v of 32 ft per sec from an initial height h of 6.0 ft. What​ angle, to the nearest​ degree, will maximize the​ distance?

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