Flying ball: A ball is tossed upward from a tall building, and its upward velocity V , in feet per second, is a function of the time t, in seconds, since the ball was thrown. The formula is  V = 40 −...

Flying ball: A ball is tossed upward from a tall building, and its upward velocity V , in feet per second, is a function of the time t, in seconds, since the ball was thrown. The formula is

 V = 40 − 32t

 if we ignore air resistance. The function V is positive when the ball is rising and negative when the ball is falling.

a. Express using functional notation the velocity 1 second after the ball is thrown, and then calculate that value. Is the ball rising or falling then?

b. Find the velocity 2 seconds after the ball is thrown. Is the ball rising or falling then?

c. What is happening 1.25 seconds after the ball is thrown?

d. By how much does the velocity change from 1 to 2 seconds after the ball is thrown? From 2 to 3 seconds? From 3 to 4 seconds? Compare the answers to these three questions and explain in practical terms.