A basketball player stands d feet from the basket. Let h and be as in Figure

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A basketball player stands d feet from the basket. Let h and α be as in Figure 38. Using physics, one can show that if the player releases the ball at an angle θ, then the initial velocity required to make the ball go through the basket satisfies

2 = 16d cos 0(tan 0 tan a)

(a) Explain why this formula is meaningful only for a < 0

(f) GU Show with a graph that for fixed d (say, d = 15 ft, the distance of a free throw), opt is an

0 70 d h

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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