A playground ride consits of a disk of mass M = 47kg and radius R = 1.6 m mounted on a low friction axle. A child of mass m = 18kg runs at speed v =2.7 m/s on a tangential to the disk and jumps onto the outer edge of the disk. (a) What was the speed of the child just after the collision ? (b)what was the speed of the center of mass of the disk just after the collision ? (c) what was the magnitude of the linear momentum of the disk just after the collision?