Program Explanation Given information: The initial speed of the ball is 10 m/s and the ball strikes the ground with a speed of 60 m/s . 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: The function v ( t ) represents the velocity function. The velocity function can be written as, v ( t ) = v 0 + a t Here, a is the acceleration and v 0 is the initial velocity. It is given that the initial speed of the ball is 10 m/s and the final velocity is 60 m/s . Here, the acceleration is g that is acceleration due to gravity. The value of g is 9.8 m / s 2 Therefore, the velocity function can be written as, v ( t ) = v 0 + g t ........ (1) Now substitute 10 for v 0 , 60 for v ( t ) and 9

Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis

5th Edition

ISBN: 9780321816252

Author: C. Henry Edwards, David E. Penney, David Calvis

Publisher: PEARSON

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Chapter 1.2, Problem 27P

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To calculate: The height of the building if the ball strikes the ground with a speed of 60m/s .

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Chapter 1.2, Problem 26P

Chapter 1.2, Problem 28P

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Chapter 1 Solutions

Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis

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The height of the building if the ball strikes the ground with a speed of 60 m/s .

Solution Summary: The author calculates the height of the building if the ball strikes the ground with a speed of 60m/s.

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To calculate: The height of the building if the ball strikes the ground with a speed of 60m/s .

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Chapter 1 Solutions