A girl and a boy are riding on a merry-go-round that is turning at a constant rate. the girl is near the outer edge, and the boy is closer to the center. who has greater angular displacement?

In order to clearly qualify this problem, we use relationships between linear displacement (x) and angular displacement (theta). The relationship would be, x = r*theta, where r is the radius. From here, you can deduce that the smaller the radius, the larger the angular displacement. Hence, the boy that is closer to the center would experience greater angular displacement.