Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 2, Problem 70PQ

A dancer moves in one dimension back and forth across the stage. If the end of the stage nearest to her is considered to be the origin of an x axis that runs parallel to the stage, her position, as a function of time, is given by

x ( t ) = [ ( 0.02 m / s 3 ) t 3 ( 0.35 m / s 2 ) t 2 + ( 1.75 m / s ) t 2.00 m ] i ^

  1. a. Find an expression for the dancer’s velocity as a function of time.
  2. b. Graph the velocity as a function of time for the 14 s over which the dancer performs (the dancer begins when t = 0) and use the graph to determine when the dancer’s velocity is equal to 0 m/s.
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Chapter 2 Solutions

Physics for Scientists and Engineers: Foundations and Connections

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