Two sources, Source A and Source B, are emitting the same frequency f with the same amplitude A, but are out of phase from each other. You may assume that both waves are traveling to the right along the x - axis, and that the equation representing the wave from Source A is given by y(x,t) = A*cos(kx-wt) where k = 2pi/lamda and omega w = 2pi*f.
a). Write the equation for the wave emitted by Source B if Source B is exactly 1/4 of a wavelength ahead of Source A. Draw a quick plot showing these two waves over two full wavelengths.
b). Write the equation representing Source B's wave if Source B is exactly 1/2 a wavelength ahead of Source A. Draw a quick plot of the two waves.
c). Write the equation for the second wave if Source B is 3/4 a wavelength behind Source A. Draw a quick plot of the same.