A roller coaster rolls without friction along a track shown below. Its initial speed at the beginning of the track (which is somewhere off to the left, not shown) is great enough to allow it coast along the whole track. Neglect friction. At what position, x, is the kinetic energy a maximum, and at what position, x, is the potential energy a minimum.

BLUE: KE Max at 100; PE Min at 100

PINK: KE Max at 50; PE Min at 50

PURPLE: KE Max at 100; PE Min at 50

GREEN: KE Max at 50; PE Min at 100

YELLOW: KE Max at 30; PE Min at 30