When the rope is slack, energy is transferred from the gravitational potential energy store to the kinetic energy store as the jumper accelerates towards the ground. When the rope tightens, the jumper's kinetic energy store decreases and the rope's elastic potential energy store increases as the rope stretches. After reaching the bottom, the rope recoils and pulls the jumper back up, transferring energy from the elastic potential energy store of the rope to the jumper's kinetic energy store