A large spool of rope rolls on the ground with the end of the rope lying on

Question:

A large spool of rope rolls on the ground with the end of the rope lying on the top edge of the spool. A person grabs the end of the rope and walks a distance L, holding onto it, Fig. 8-50. The spool rolls behind the person without slipping. What length of rope unwinds from the spool? How far does the spool€™s center of mass move?

A large spool of rope rolls on the ground with