In a playground there is a small merry-go-round of mass 176kg and radius 1.22m that is not moving. The radius of gyration is 91.6cm. A girl of mass 44.3kg runs at a speed of 2.92 m/s tangent to the rim of the merry-go-round and jumps on it. Neglect friction between the bearings and the shaft of the merry-go-round and find the angular speed of the merry-go-round and girl.

Two students, each riding bicycles, start from the same apartment building and ride to the same building on campus, but each takes a different route. the first student rides 1100 m due east and then turns due north and travels another 1430 m before arriving at the destination. the second student heads due north for 1930 m and then turns and heads directly toward the destination.at the turning point, how far is the second student from the destination?