Problem

a$)$ For a short time the jet plane moves along a path in the shape of a lemniscate, $r^2=(2500*cos(2))k{m}^2,$ for $$ in rad. At the instant $=30,$ the radar tracking device is rotating at ${}^{}=0\mathrm{.}005ra\frac{d}{s}.$ Determine the magnitude of the plane's velocity at this instant.

New figure; original figure and problem from Hibbeler $12$e$,12\mathrm{.}194$