AP EAPCET 19-Aug-2021 Shift 2 Paper

A girl of mass M stands on the rim of a friction less merry-go-round, of radius R and rotational inertia I, that is not moving. She throws a rock of mass m horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speedof the rock, relative to the ground is v. Afterwards, the linear speed of the girl is _______