The pulley system shown is at rest when the motor M starts pulling in rope so as to lift the 119 lb cargo C. For the first second of operating, the motor is able to produce a tension in the rope of the form F0(1+t/T) where F0=40 lb. Neglect the inertia of the pulleys and of the rope. If T=.5 s, use the impulse-momentum principle to determine the speed of the crate after 1 s.