A baseball is hit straight up with an initial velocity of v 0 = 96 feet per

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A baseball is hit straight up with an initial velocity of v0 = 96 feet per second (about 65 miles per hour) and leaves the bat with an initial height of h0= 2.5 feet. 

(a) Write a formula s(t) that models the height after 1 seconds. 

(b) How high is the baseball after 4 seconds? 

(c) Find the maximum height of the baseball. Support your answer graphically. 

(d) Graphically estimate the domain and range of s in this application.

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