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2. (a) Starting with ck Nq2 fi(w } - (2 ) -=1+ M 2meo ( w ? - w2 ) + 17w2 calculate the group velocity, assuming there is only one resonance at wo. Tip: It is helpful to use C dk C Vg (b) Using computer software, graph y = v./c as a function of x = (w/wo) from x = 0 to 2 for Noz the following values of the damping constant. Take 0.003. i) for y = 0. ii) for y = 0.1wo iii) for y = 0.2wo For which cases can the group velocity exceed c