A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=801- 161. After how long will it reach its maximum height? Do not round your answer. Time: seconds

A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=801- 161. After how long will it reach its maximum height? Do not round your answer. Time: seconds

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CT: Chapter Test

Problem 5CT: Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where...

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Question

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A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function
h(t)=801- 161. After how long will it reach its maximum height?
Do not round your answer.
Time: seconds

Expert Solution

Step 1

The second derivative test: Let f(x) be the given function and c be the critical point of f.

If f"(c)<0 then f has a local maximum at x=c
If f"(c)>0 then f has a local minimum at x=c.
If f"(c) =0 then the test fails.

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