The wave function y(x, t) for a certain standing wave on a string fixed at both ends

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The wave function y(x, t) for a certain standing wave on a string fixed at both ends is given by y(x, t) = (0.05 m) sin 2.5 m-1 x cos 500 s-1 t.

(a) What are the speed and amplitude of the two traveling waves that result in this standing wave?

(b) What is the distance between successive nodes on the string?

(c) What is the shortest possible length of the string?

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