A ball is dropped from the top of the Empire State Building. The height, y, of the

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A ball is dropped from the top of the Empire State Building. The height, y, of the ball above the ground (in feet) is given as a function of time, t (in seconds), by

y = 1250 − 16t².

(a) Find the velocity of the ball at time t. What is the sign of the velocity? Why is this to be expected?
(b) When does the ball hit the ground, and how fast is it going at that time? Give your answer in feet per second and in miles per hour (1 ft/sec = 15/22 mph).

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 12, 2023 04:52 AM

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A ball is dropped from the top of the Empire State Building. The height, y, of the

Question:

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a Velocity vt dydt ddt 1250 16t 2 32t Since t 0 the balls velocity is negative Th...View the full answer

Applied Calculus

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