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Consider two waves y1(x,t) = A cos(κ1x − ω1t) and y2(x,t) = A cos(κ2x −ω2t +...

Consider two waves y1(x,t) = A cos(κ1x − ω1t) and y2(x,t) = A cos(κ2x −ω2t + φ) traveling in the same direction. Find the resultant oscillation, and from the function you derive, identify the group and phase velocity parts. (Hint: Think about which part is oscillating slower or faster). Then write down the expression for the group and phase velocity.

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