For a short time the jet plane moves along a path in the shape of a lemniscate, r$2=(2500$cos$2\backslash$theta $)$km$2$

$.$ At the instant $\backslash$theta

$=30$

$,$ the radar tracking device is rotating at $\backslash$theta $=5(103)$rad$/$s

with $\backslash$theta $=2(103)$rad$/$s$2$

$.($Figure $1)$