A two-wheel battery-powered vehicle has a platform and two wheels connected to the platform, wherein a battery-powered wheel drive drives the wheels. An attachment is connected to the platform and a sensor device is arranged in the platform. A person standing on the platform and engaging the attachment moves the platform into an angle position corresponding to a body position of the person. Based on the angle position of the platform, the sensor device controls the wheel drive such that, by acceleration or deceleration, the vehicle and the person standing on it are kept in a balanced position. A right/left control controls turning of the vehicle in a traveling direction by driving the wheels at different speed. The attachment has a leg support device for at least one leg of the person standing on the platform for keeping the platform at a desired angle position.