Homework Statement
In a lab experiment about Gravity Waves and Dispersion, one of the preliminary questions is:
Show that for gravity waves the group velocity is:
C_{g} = \frac{C_{p}}{2}\sqrt{1 + \frac{2kh}{sinh(2kh)}}
Homework Equations
C_{g} = dω/dk
ω = \sqrt{gktanh(kh)}...