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the function defined by s(t)= 576+144t-16t2 describes the heigh, in feet, of a rock t seconds after it has been thrown upward at 144 feet per second from the top of a 50-story building.

a. sketch the graph of s
b. how long does it take the rock to hit the ground?
c. determine the maximum height and the time it takes the rock to reach it
d. determine physically reasonable definitions for the domain and range of x

 

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