The displacement of a particle on a vibrating string is given by the equation s(t)=11+1/4sin(14PIt), where s is measured in centimeters and in seconds. Find the velocity of the particle after t seconds.

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24-11-2016
Mathematics

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The displacement of a particle on a vibrating string is given by the equation s(t)=11+1/4sin(14PIt), where s is measured in centimeters and in seconds. Find the velocity of the particle after t seconds.

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alsteva alsteva · Answer 1 · 2016-11-28T07:44:58+01:00

alsteva alsteva

28-11-2016

Find the first derivative of the given expression.

[tex]s(t)=11+\frac{ 1 }{ 4}\sin(14{\pi}t) \\ \\s^{'}(t)=v(t)=\frac{ 7 }{ 2 }{\pi}\cos(14{\pi}t)[/tex]

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