The figure is an overhead view of a thin uniform rod of length0.467 m and mass M rotating horizontally at angular speed 15.7rad/s about an axis through its center. A particle of mass M/3initially attached to one end is ejected from the rod and travelsalong a path that is perpendicular to the rod at the instant ofejection. If the particle's speed vp is 3.32m/s greater than the speed of the rod end just after ejection, whatis the value of vp?