Speed Of Propagation Vs. Particle Speed A Show Eq

Speed of Propagation vs. Particle Speed
(a) Show that Eq. (IS.3) may be written as

(b) Use y(x, t) to find an expression for the transverse velocity uy of a particle in the string on which the wave travels.
(c) Find the maximum speed of a particle of the string. Under what circumstances is this equal to the propagation speed v Less than u Greater than u?

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