$[10$ marks$]$

c$.$ An aircraft, in straight level flight, is flying at $65\frac{m}{s}$ at standard sea level $($air density is $1\mathrm{.}225k\frac{g}{m^3}).$ The properties of the aircraft are listed in the table below. Estimate the damping of the Phugoid mode.

$\backslash$table$[[S=12m^2,S_T=3m^2,l_T=4\mathrm{.}5m$