Virginia law states that mopeds are allowed on bike lanes:
http://www.virginiadot.org/programs/bk-laws.asp#Electric%20Power-assisted%20Bicycles
– A bike lane is defined as that portion of a roadway designated by signs and/or pavement markings for the preferential use of bicycles, electric power-assisted bicycles, and mopeds.
– A shared use path is defined as a bikeway that is physically separated from motorized vehicular traffic by an open space or barrier and is located either within the highway right-of-way or within a separate right-of way. Shared use paths may also be used by pedestrians, skaters, users of wheel chair conveyances, joggers, and other nonmotorized users.
“Moped” means every vehicle that travels on not more than three wheels in contact with the ground that has (i) a seat that is no less than 24 inches in height, measured from the middle of the seat perpendicular to the ground and (ii) gasoline, electric, or hybrid motor that displaces less than 50 cubic centimeters. Moped operators must be at least 16 years old and must carry some form of identification that includes name, address, and date of birth. A moped is considered a vehicle while operated on a highway. Mopeds can not be ridden on sidewalks or bike paths. Some localities in Northern Virginia may impose restrictions on the operation of mopeds. Localities can require additional safety equipment for moped operation.
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