A girl of mass 26.9 kg stands on the rim of a frictionless merry-go-round of radius 1.21 m and rotational inertia 378 kg-m that is not moving. She throws a rock of mass 994 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 8.87 m/s. Afterward, what are (a) the angular speed of the merry-go-round and (b) the linear speed of the girl?