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

Chapter 3, Problem 62

(choose chapter or problem)

A ball is dropped fromthe 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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