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Answer:
The squirrel maximum height (h) = 21.125 ft
Step-by-step explanation:
The objective of this question is to determine the squirrel's maximum height.
Given that:
h = -2t² + 9t + 11
Differentiating h with respect to t, we get;
At the time dh/dt = 0, the velocity is maximum
Thus;
-4t = -9
4t = 9
t = 9/4
t = 2.25 seconds
From;
h = -2t² + 9t + 11
h = - 2(2.25)² + 9(2.25) + 11
h = - 10.125 + 20.25 + 11
h = 21.125 ft