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A transverse sinusoidal wave on a string has a period T = 36.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 1.50 m/s.

(a) What is the amplitude of the wave?

________m

(b) What is the phase constant?

______rad

(c) What is the maximum transverse speed of the string?

________m/s

(d) Write the wave function for the wave. (Use the following as necessary: x and t. Assume y and x are in m and t is in s.)

y(x, t) =

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