A carousel has a radius of 1.65 m and a moment of inertia of 110 kg · m2. A girl of mass 49.5 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.00 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.4 rad/s. How far from the center did the girl stop?