The displacement of a particle on a vibrating string is given by the function below, where t is measured in seconds (s) and s in centimeters (cm). s(t) = 2+ 1/4 sin (10π t). Find the velocity function.
The velocity function is the derivative of the displacement function. So, the velocity function for the given displacement function is 2.5π cos(10π t). This gives the velocity of the particle on the vibrating string at any time t.
