A sinusoidal wave traveling in the -x direction (to the left) has an amplitude of 20.0 cm, a wavelength of 35.0 cm, and a frequency of 12.0 Hz. The transverse position of an element of the medium at t = 0, x = 0 is y = -3.00 cm, and the element has a positive velocity here.
(a) Sketch the wave at t = 0.
(b) Find the angular wave number, period, angular frequency, and wave speed of the wave.
(c) Write an expression for the wave function y(x, t).