Stability is the airplane's tendency to return to a steady flight condition after a disturbance. It comes in two forms and acts about three axes.
Most training airplanes are designed with positive static and positive dynamic longitudinal stability so they are forgiving and self-correcting.
Longitudinal (pitch) stability is heavily influenced by the center of gravity (CG). A CG that is too far aft reduces stability and can make the airplane dangerously difficult to recover from a stall; a CG too far forward increases stability but raises stall speed and control forces.
Four effects tend to yaw a single-engine prop airplane left, most noticeably at high power and low airspeed (takeoff/climb):
Right rudder counteracts these tendencies.
Within about one wingspan of the surface, the ground interferes with the wingtip vortices and downwash, reducing induced drag. The airplane feels like it 'floats.' Two hazards: lifting off in ground effect before reaching a safe climb speed (the airplane may settle back as you climb out of ground effect), and floating in the flare on landing.