A soda bottle (m = 0.1 kg) filled with a flammable vapor is ignited and a rubber stopper (m = 0.01 kg) is fired across the room at 100 m/s. Find the recoil velocity

of the soda bottle.

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?