The launching catapult of the aircraft carrier gives the jet fighter a constant acceleration of $57$ m$/$s$2$ from rest relative to the flight deck and launches the aircraft in a distance of $109$ m measured along the angled takeoff ramp. If the carrier is moving at a steady $25$ knots $(1$ knot $=1\mathrm{.}852$ km$/$h$),$ determine the magnitude v of the actual velocity of the fighter when it is launched.