There is provided an autonomous vehicle for pushing feed lying on a floor, comprising a frame; a skirt rotatably connected to the frame, wherein a bottom portion of the skirt continuously contacts the floor to push the feed. The vehicle comprises a sensor assembly for detecting a magnetic field emitted from a magnetic guiding element inserted in the floor and a control unit mounted for directing rotation of the skirt and for guiding the vehicle along a predetermined path formed by the magnetic guiding element. Also provided is an autonomous vehicle with a skirt drive mechanism mounted to the frame for driving rotation of the skirt, and an autonomous vehicle comprising a prism-shaped skirt rotatably connected to the frame. There is also provided methods for installing a magnetically guided autonomous vehicle and for pushing feed using an autonomous vehicle, as well as systems and kits comprising said vehicle.