$2/151$ Instruments located at $O$ are part of the ground$-$

traffic control system for a major airport. At a cer$-$

tain instant during the takeoff roll of the aircraft

$P,$ the sensors indicate the angle $=50$ and the

range rate $r^{}=140f\frac{t}{sec}.$ Determine the corre$-$

sponding speed $v$ of the aircraft and the value of ${}^{}.$