your friend gets a at tire while driving up a road with a 35.0 slope. While changing the tire he lets go of the spare and it begins to roll down the hill. His sister has stopped her car 5.54 m down the slope (of course this is very late on a cloudy night so she is there with her lights on). If we model the tire as a cylindrical shell with mass M and radius R that rolls without slipping,
(a) How fast (m/s) is the tire moving when it hits the sister's car?
(b) If instead we model the tire as a solid cylinder, how fast (m/s) would it be moving when it hits the sister's car?