Question

The displacement of a particle on a vibrating string is given by the equation $s(t) = 13 + \frac{1}{4}sin(13\pi t)$ where $s$ is measured in centimeters and $t$ in seconds. Find the velocity (in cm/s) of the particle after $t$ seconds. v(t) = cm/s

          The displacement of a particle on a vibrating string is given by the equation $s(t) = 13 + \frac{1}{4}sin(13\pi t)$ where $s$ is measured in centimeters and $t$ in seconds. Find the velocity (in cm/s) of the particle after $t$ seconds.
v(t) = cm/s

The displacement of a particle on a vibrating string is given by the equation s(t) = 13 + (1)/(4)sin(13π t) where s is measured in centimeters and t in seconds. Find the velocity (in cm/s) of the particle after t seconds.
v(t) = cm/s

Added by Miguel C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

10/12/2022

Step 1

Step 1: To find the velocity of the particle, we need to differentiate the displacement function s(t) with respect to time t. Show more…

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The displacement of a particle on a vibrating string is given by the equation s(t)=13+(1)/(4)sin(13pi t) where s is measured in centimeters and t in seconds. Find the velocity (in c(m)/(s) ) of the particle after t seconds. v(t)=,c(m)/(s) sin13xt where s is measured in centimeters and t in seconds.Find the velocityin cm/sof the particle after t seconds v(t)= cm/s