A girl of mass 29.9 kg stands on the rim of a frictionless merry-go-round of radius 1.78 m and rotational inertia 219 kg·m2 that is not moving. She throws a rock of mass 635 g horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground, is 1.12 m/s. Afterward, what are (a) the angular speed of the merry-go-round and (b) the linear speed of the girl?