Final answer:
The rubber band had the most gravitational potential energy stored when it touched the ceiling because gravitational potential energy is highest at the greatest height.
Step-by-step explanation:
The gravitational potential energy stored between the rubber band and the Earth would be at its maximum when the rubber band touched the ceiling. This is because gravitational potential energy (U) is directly related to an object's height (h) above the ground and is given by the formula U = mgh, where m is the mass of the object and g is the acceleration due to gravity. When Carly stretches the rubber band between her fingers, it has elastic potential energy, not gravitational. As it flies away from her hands and moves upward towards the ceiling, it gains height and thus gravitational potential energy. At the highest point when the rubber band touches the ceiling, it has reached its maximum height and, in turn, its maximum gravitational potential energy. As the rubber band falls back down, it loses gravitational potential energy and gains kinetic energy (as indicated by its increasing speed on the way down).