Abstract: A kayak having a kayak-style hull with one or more cockpits, and an inboard power device that accelerates water and directs it out a steerable stern nozzle. In the embodiment described, an internal combustion engine drives a water impeller that receives water from an intake communicating with a body of water on which the kayak is located. The stern nozzle laterally redirects the accelerated water from the impeller over an angular range centered on a long axis of the hull. The operator controls the angle of the stern nozzle by means of a foot pedal accessible to an operator in the cockpit. The kayak also has a foot pedal for controlling a throttle of the engine.