The function defined by describes the height, in feet, of a rock t seconds after it has...

The function defined by describes the height, 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, as shown in the figure.

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 forthe domain and range of s.