A surface wave in deep water originated some unknown distance away. At time 0 we first observed the wave and it had period T1. At time t we observed the wave again and it had period T2. We know omega = 2*pi/T and omega^2 = g/L => L = g*(T/2*pi)^2. cg^2 = g*L => cg = g*T/(2*pi). d = t*cg1*cg2/(cg1-cg2) = twice the book's answer.
T = period, L = wavelength, g = gravity, cg = group velocity, d = distance
edit: I fixed my stupid eqn for d, but I'm still off by a factor of 2 somewhere
T = period, L = wavelength, g = gravity, cg = group velocity, d = distance
edit: I fixed my stupid eqn for d, but I'm still off by a factor of 2 somewhere
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