In a room with a uniformly colored floor, Keiko is standing on a rotating platform holding a ball. If Keiko releases the ball while the platform is spinning, where will Raj, standing at a fixed position outside the platform, observe the ball to go?

Respond very briefly.
Raj will observe the ball moving in a straight line from the point of release. When Keiko releases the ball, it will continue moving tangentially to the circular path it was following while she was holding it. Meanwhile, the rotating platform will continue to spin beneath it. This is because once the ball is no longer in Keiko's hand, it is not affected by the rotational motion of the platform, only by the inertia that carries it in the direction it was going at the moment of release.