Physics—Ballistics: If a model rocket is launched from a 3-foot platform with an initial velocity of 150 feet per second, then its height can be modeled by
s(t) = −16t2 + 150t + 3
where t represents the number of seconds since launch, and s(t) represents the height in feet.
(a) Evaluate s(8), and interpret.
(b) Determine the average rate of change in the rocket’s height for t = 5 to t = 8 and interpret.
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