A: A child, hunting for his favorite wooden horse, is running on
the ground around the edge of a stationary merry-go-round. The
angular speed of the child has a constant value of 0.297 rad/s. At
the instant the child spots the horse, one-quarter of a turn away,
the merry-go-round begins to move (in the direction the child is
running) with a constant angular acceleration of 0.00500
rad/s2. What is the shortest time it takes for the child
to catch up...