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) =