Howe does it work?
First, the propeller works like a sail on a boat with the wind pushes against
the propeller accelerating the kart forward. As the kart approaches wind speed
the force delivered by the wind decreases steadily until it reaches wind speed
at which point the force goes to zero. Going faster than the wind causes the
propeller to push against the wind resulting in a force slowing down the cart.
Secondly, the motion of the kart drives the wheels providing power via
the transmission that turns the propeller whose motion pushes against air
accelerating the kart forward. This positive feedback continues until the thrust
of the propeller equals the drag of the propeller at which point the air passing
through the propeller stops moving relative to ground.
Essentially, the forward motion of the air gets converted into forward motion
of the kart. But, the kart will never stop all forward motion of the air because
various forms of mechanical losses, like friction, will slow down the kart before
it can reach that velocity.
Engineering students will probably start building karts with carbon fiber
and electric motors and racing them in competitions to see which college
can build the fastest one.