A ball is tossed into the air from ground level at 128 feet per second. The function f(t) = −16t2 + 128t gives the height above ground (in feet) as a function of time (in seconds).
a. Find f(0) and f(3).
b. How far did the ball travel in the first three seconds of its flight?
c. Find the average rate of change of the height for the time interval [0, 3].
d. Find
e. Find
f. Find the instantaneous rate of change of the height (or the instantaneous velocity) of the ball at times t = 0, 2, 4, 6, and 8 seconds.
The average rate of change of the function f on the interval [c, x] is
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