Solve the problem. See Examples 7 and 8.Velocity of a pop up. A pop up off the bat of Mark...

Solve the problem. See Examples 7 and 8.

Velocity of a pop up. A pop up off the bat of Mark McGwire goes straight into the air at 88 feet per second (ft/sec). The function v = − 32t + 88 gives the velocity of the ball in feet per second, t seconds after the ball is hit.

a) Find the velocity for t = 2 and t = 3 seconds. What does a negative velocity mean?

b) For what value of t is v = 0? Where is the ball at this time?

c) What are the two intercepts on the accompanying graph? Interpret this answer.

d) If the ball takes the same time going up as it does coming down, then what is its velocity as it hits the ground?

Figure for Exercise 86