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A string of length 3 m and total mass 12 g is under a tension of 160 N. A transverse harmonic wave with wavelength 25 cm and amplitude 2 cm travels to the right along the string. It is observed that the displacement at x = 0 at t = 0 is 0:87 cm.
(i) What is the speed of the wave?
(ii) Write the wave function, y(x; t).
(iii) Find the particle velocity at position x = 0 at time t = 10 s. What is the maximum particle velocity?

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