Program Explanation Given information: The height of the monument is 555 ft . The initial speed is 40 ft/s when a baseball is thrown. Concept used: The differential equation d y d x = f ( x ) g ( y ) can be calculated with the help of separating the variables as, ∫ d y g ( y ) = ∫ f ( x ) d x Calculation: Consider x ( t ) as the position function. The position function can be written as, x ( t ) = 1 2 a t 2 + v 0 t + x 0 ....... (1) Here, a is the acceleration, x 0 is the initial position and v 0 is the initial velocity. It is given that the height of the monument is 555 ft . The initial speed is 40 ft/s when a baseball is thrown. Therefore, the initial velocity of the baseball is v 0 = 40 ft/s and the height of the monument is x ( t ) = 555 ft . The value of a is g . Here, the symbol g is acceleration due to gravity. The value of g is 32 f t / s 2

5th Edition

ISBN: 9780321974235

Author: Calvis

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

Question

Chapter 1.2, Problem 28P

Program Plan Intro

To calculate: The final velocity of the baseball that strikes the ground if the height of the monument is 555 ft .

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Chapter 1.2, Problem 27P

Chapter 1.2, Problem 29P

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Chapter 1 Solutions

EBK DIFFERENTIAL EQUATIONS

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The final velocity of the baseball that strikes the ground if the height of the monument is 555 ft .

Solution Summary: The author calculates the final velocity of the baseball that strikes the ground if the monument's height is 555ft.

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To calculate: The final velocity of the baseball that strikes the ground if the height of the monument is 555 ft .

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Chapter 1 Solutions