Question: Experiments indicate that when a flea jumps, its height (in meters) after t seconds is given by the function H(t) = 4.4t 4.9t 2

Experiments indicate that when a flea jumps, its height (in meters) after t seconds is given by the function H(t) = 4.4t − 4.9t2

a. Find H´(t). At what rate is H(t) changing after 1 second? Is it increasing or decreasing?

b. At what time is H´(t) = 0? What is the significance of this time?

c. When does the flea land (return to its initial height)? At what rate is H(t) changing at this time? Is it increasing or decreasing?

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