A 0.726-kg rope 2.00 meters long lies on a floor. You grasp one end of the rope and begin lifting it up upward with a constant speed of 0.710m/s. Find the position and velocity of the rope's center of mass from the time you begin lifting the rope to the time the last piece of rope lifts off the floor. Plot your results. (Assuming the rope occupies negligible volume directly below the point where it is being lifted)