Explanation Given: Thedisplacement of a particle on a vibrating string by the equation s ( t ) = 10 + 1 4 sin ( 10 π t ) where s is measured in centimeters and t in seconds. Concept Used: Suppose the displacement of a particle is given by the function s ( t ) . The velocity of the particle can be calculated by v ( t ) = d s d t And, the acceleration of the particle can be calculated by a ( t ) = d v d t Calculation: Given the displacement of a particle on a vibrating string by the equation s ( t ) = 10 + 1 4 sin ( 10 π t ) The velocity of the particle can be calculated by v ( t ) = d s d t That is, v ( t ) = d s d t = 0 + 1 4 ( 10 π ) cos ( 10 π t ) = 5 π 2 cos ( 10 π

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3.5, Problem 55E

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To find:The velocity and acceleration of the particle after t seconds, given its displacement on a vibrating string by the equation s(t)=10+14sin(10πt) .

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Chapter 3.5, Problem 54E

Chapter 3.5, Problem 56E

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Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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The velocity and acceleration of the particle after t seconds, given its displacement on a vibrating string by the equation s ( t ) = 10 + 1 4 sin ( 10 π t ) .

Solution Summary: The author calculates the velocity and acceleration of the particle after t seconds, given its displacement on a vibrating string.

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To find:The velocity and acceleration of the particle after t seconds, given its displacement on a vibrating string by the equation s(t)=10+14sin(10πt) .

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