Explanation Given: The theory of relativity models the Doppler shift s of an object travelling at a velocity v s = c + v c − v − 1 where c is the speed of light and v < c First expression v as function of s s = c + v c − v − 1 s + 1 = c + v c − v [ Squaring both sides ] To determine To find: The velocity v ( s ) To determine To find: The rate of change velocity v ( s ) w.r.t s

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.6, Problem 52PS

To determine

To sketch: The graph of v(s)

To determine

To find: The velocity v(s)

To determine

To find: The rate of change velocity v(s) w.r.t s

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Chapter 4.6, Problem 51PS

Chapter 4.6, Problem 53PS

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Chapter 4 Solutions

Calculus

Ch. 4.1 - Prob. 1PS Ch. 4.1 - Prob. 2PS Ch. 4.1 - Prob. 3PS Ch. 4.1 - Prob. 4PS Ch. 4.1 - Prob. 5PS Ch. 4.1 - Prob. 6PS Ch. 4.1 - Prob. 7PS Ch. 4.1 - Prob. 8PS Ch. 4.1 - Prob. 9PS Ch. 4.1 - Prob. 10PS

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The graph of v ( s )

Solution Summary: The author explains how the theory of relativity models the Doppler shift s of an object travelling at a velocity.

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To sketch: The graph of v(s)

To find: The velocity v(s)

To find: The rate of change velocity v(s) w.r.t s

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Chapter 4 Solutions