A single roller-coaster car is moving with speedv0 on the first section of track when it descends a 5.1 meter deep valley, then climbs to the top of a hill that is 5.2 meter above the first section of track. Suppose any effects of friction or of air resistance are negligible.
(a) Find what is the minimum speed v0 required if the car is to travel beyond the top of the hill?
(b) Can we affect this speed by changing the depth of the valley to make the coaster pick up more speed at the bottom?