A vehicle is described herein that includes a body structure such as a windshield and/or a windshield frame, a compartment such as a passenger compartment, one or more body panels around the compartment, and an at least partially floating cover, such as a roof, disposed over the compartment. The floating cover includes one or more body structure mounts and an overhang extending from the body structure over the compartment to an aft portion of the compartment. Other similar embodiments include features such as support structures, support structure mounts that mount the floating cover to the support structures, and various aerodynamic features incorporated into the floating cover. For example, some embodiments include roll bars and roll bar mounts, aerodynamic arcs, and aerodynamically continuous surfaces.