Height of a Ball If a ball is thrown into the air at 64 feet per second from the top of a 100-foot-tall building, its height can be modeled by the function S = 100 + 64t − 16t2, where S is in feet and t is in seconds.
a. Graph this function on a viewing window [0, 6] by [0, 200].
b. Find the height of the ball 1 second after it is thrown and 3 seconds after it is thrown. How can these values be equal?
c. Find the maximum height the ball will reach.
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