Suppose that a baseball is tossed straight upward and that its height (in feet) as a function of time (in seconds) is given by the formula h(t) = 128t - 16t2.
(a) Find the instantaneous velocity and acceleration of the baseball at time t.
(b) What is the maximum height attained by the ball?
(c) What is the average velocity of the ball during the time interval from t = 1 to t = 4?
(d) How long does it take before the ball lands?
(e) At what time is the height of the ball 112 feet?
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