In the first one, kinetic energy got the roller coaster to the top of the hill, and it becomes lots of potential energy due to being at the top of a steep drop.
In the second one, it begins with potential energy, until the person is put into a falling motion, transferring to kinetic energy.
In the third one, there is potential energy, because the bow string is taut, and ready to release and allow the arrow to go flying.
In the fourth one, the car has gas which is potential energy, until it begins moving and is turned into kinetic energy.