Explanation Given: s ( t ) = t 3 − 6 t 2 , [ t 1 , t 2 ]=[1, 5] Formula used: Average speed= | s ( t 2 ) − s ( t 1 ) t 2 − t 1 | …………….(1) (Speed is a scalar quantity therefore we use modulus in formula) Calculation: In order to obtain average speed first we have to find s ( t 2 ) and s ( t 1 ) . s ( t 2 ) = s ( 5 ) = ( 5 ) 3 − 6 × ( 5 ) 2 = 125 – ( 6 × 25 ) = 125 − 150 = − 25

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.2, Problem 55E

To determine

To find: The average speed of a particle over the time period [1, 5].

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Chapter 6.2, Problem 54E

Chapter 6.2, Problem 56E

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The average speed of a particle over the time period [1, 5].

Solution Summary: The author calculates the average speed of a particle using the given time interval, position, and formula.

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To find: The average speed of a particle over the time period [1, 5].

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Chapter 6 Solutions