Explanation Given information: The function of the height of the graph, y, reaches with respect to time, t is given by y = − 16 t 2 + 50 t + 5 Calculation: y = − 16 t 2 + 50 t + 5 (Given) Differentiating with respect to ‘t’, we get y ' = − 32 t + 50 To obtain the critical point, put y ' = 0 . ⇒ − 32 t + 50 = 0 ⇒ t = 50 32 ⇒ t = 25 16 Thus, t = 25 16 is the time at which the grapefruit reaches the maximum height

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 4.3, Problem 34P

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To find:

The maximum height of the grapefruit goes before it reaches to the ground.

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Chapter 4.3, Problem 33P

Chapter 4.3, Problem 35P

Chapter 4 Solutions

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The maximum height of the grapefruit goes before it reaches to the ground.

Solution Summary: The author explains that the maximum height of the grapefruit goes before it reaches to the ground, which is 44.0625 feet.

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To find: The maximum height of the grapefruit goes before it reaches to the ground.

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Chapter 4 Solutions

To find:

The maximum height of the grapefruit goes before it reaches to the ground.