A truck with mass `m` has a brake failure while going down an icy mountain road of constant downwards slope angle `alpha` (see figure) . Initial , the truck is moving downhill at speed `v_(0)` . After carening downhill a distance `L` with neglible friction for the truck driver steers the runaway vehicle onto a runway truk rump of constant upward slope angle `Beta` . The truck rump has to soft sand surface for which the coefficient of rolling friction is `mu_(r)`. What is the distance that the truck moves up the rump before coming to a halt?