Physics—Ballistics: If a rock is thrown from the ground with an initial velocity of 80 feet per second, then its height can be modeled by
s(t) = −16t2 + 80t 0 ≤ t ≤ 5
where t represents the number of seconds since the rock was thrown, and s(t) represents the rock’s height in feet.
(a) Evaluate s(3), and interpret.
(b) Determine the average rate of change in the rock’s height for t = 1 to t = 3 and interpret.
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