Question: Experiment suggests that a falling body will fall approximately 16t2 feet in t seconds. (a) How far will it fall between t = 0 and

Experiment suggests that a falling body will fall approximately 16t2 feet in t seconds.
(a) How far will it fall between t = 0 and t = 1?
(b) How far will it fall between t = 1 and t = 2?
(c) What is its average velocity on the interval 3 ≤ t ≤ 3.01?
(d) What is its average velocity on the interval 3 ≤ t ≤ 3.01?
(e) Find its instantaneous velocity at t = 3 (see Example 4).

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