Explanation Given Information: The distance covered by the book thrown by Prof. Weak is thrice as high as Prof. Strong and the initial velocity is v 0 ft/sec . Formula used: The velocity of projectile is given by the formula, v ( t ) = − 32 t + v 0 ft/sec Where t represents time and v 0 represents the initial velocity. The position of a projectile is given by the formula, s ( t ) = − 16 t 2 + v 0 t + s 0 feet Where t represents time and s 0 represents the initial position. Calculation: Consider that v 0 and u 0 are the velocities by which Prof. Strong and Prof. Weak throw the book respectively. The velocity of a book at time t , if the initial velocity is v 0 ft/sec , is given by the formula, v ( t ) = − 32 t + v 0 ft/sec Now compute the time taken by book to reach highest point by using v ( t ) = 0 , v ( t ) = − 32 ⋅ t + v 0 ft/sec 0 = − 32 t + v 0 32 t = v 0 Solve for t this gives, t = v 0 32 Therefore, the book reached at highest point after v 0 32 seconds. The position s ( t ) of a book at time t , if the initial position is s 0 feet , is given by the formula, s ( t ) = − 16 t 2 + v 0 t + s 0 feet Consider the initial position, s 0 = 0 feet Compute the highest poi

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 13.1, Problem 76E

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To calculate: The rate at which by which Prof. Weak can throw a book with respect to Prof. Strong, if distance covered by the book thrown by Prof. Weak is thrice as high as Prof. Strong and the initial velocity is v0 ft/sec.

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Chapter 13.1, Problem 75E

Chapter 13.1, Problem 77E

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Chapter 13 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 13.1 - In Exercises 142, evaluate the integral. [HinT:...Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E

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The rate at which by which Prof. Weak can throw a book with respect to Prof. Strong, if distance covered by the book thrown by Prof. Weak is thrice as high as Prof. Strong and the initial velocity is v 0 ft/sec .

Solution Summary: The author calculates the rate at which Prof. Weak can throw a book, if distance covered by the book is thrice as high as prof. Strong.

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To calculate: The rate at which by which Prof. Weak can throw a book with respect to Prof. Strong, if distance covered by the book thrown by Prof. Weak is thrice as high as Prof. Strong and the initial velocity is v0 ft/sec.

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Chapter 13 Solutions