Final answer:
The child who is at a greater distance from the axis of rotation will have a larger angular displacement.
Step-by-step explanation:
The child who is at a greater distance from the axis of rotation will have a larger angular displacement.
Angular displacement is the angle through which an object rotates or moves in a circular path.
When the merry-go-round spins, the child at a greater distance from the axis of rotation will have to travel a larger distance around the circle to complete one rotation, resulting in a larger angular displacement compared to the child closer to the axis of rotation.