The function defined by v(t) = 144 − 32t describes the velocity in feet per second of th...

The function defined by v(t) = 144 − 32t describes the velocity in feet per second of the rock t seconds after it is thrown from the building described in Exercise 36.

a. Sketch the graph of v.

b. What is the velocity of the rock when it strikes the ground?

c. Determine physically reasonable definitions for the domain and range of v.

REFERENCE:

36. 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 for the domain and range of s.