   Chapter 3.4, Problem 79E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# The displacement of a particle on a vibrating string is given by the equation s ( t ) = 10 + 1 4 sin ( 10 π t ) where sis measured in centimeters and t in seconds. Find the velocity of the particle after t seconds.

To determine

To find: The velocity of the particle after t seconds.

Explanation

Given:

The equation of vibrating string is s(t)=10+14sin(10πt), where t is in seconds and s is in centimeters.

Recall:

If x(t) is a displacement of a particle and the time t is in seconds, then the velocity of the particle is v(t)=dxdt.

Calculation:

Obtain the velocity of the particle after t seconds.

v(t)=ddt(s(t)

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