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Assume that the height of a ball in feet off of the ground after t seconds...

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Basic Math

Assume that the height of a ball in feet off of the ground aftert seconds is given by the function h(t).

If you know the following about the function h and itsderivative

1. h(5) = 250 ft

2. h'(1) = 15 ft/sec

3. h'(5) = 0 ft/sec

4. h'(6) = -2 ft/sec

Recall that h'(t) is the derivative of h at seconds, and h(t) isthe function h evaluated at t seconds.

Explain what each of the 4 statements means about he ball andits flight.

Hint. Think about what the derivative means in terms ofincreasing and decreasing functions and what does it mean when thederivative is zero (review chapters 5.1 and 5.2 if necessary)

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