(a) For the wave function given in Problem 48, find the velocity of a string segment at...

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(a) For the wave function given in Problem 48, find the velocity of a string segment at some point x as a function of time.

(b) Which point has the greatest speed at any time? What is the maximum speed of this point?

(c) Find the acceleration of a string segment at some point x as a function of time.

(d) Which point has the greatest acceleration? What is the maximum acceleration of this point?

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