A rechargeable robotic pool cleaning apparatus having a first water pump for providing a downward thrust force, a second water pump for providing at least a rearward thrust component, and a third water pump for providing at least a forward thrust component, the apparatus being buoyant when the pumps are not activated and including adjustable flap valves, baffles and nozzles to alter the outflow direction of at least some of the jet streams of water produced by the pumps so as to produce any one or more of a vertical, forward, rearward, and sideward thrust component depending upon the positioning of the baffles and/or nozzle members. At least one main controller is electronically coupled to a rechargeable power source for controlling the operation of the pumps in various combinations for moving the apparatus both vertically and horizontally in the body of water.