The new Virginia Moped laws add a number of requirements, including Titling and Registration and restrictions on Age. All mopeds will now have a license plate, and can only be driven by persons who are 16 years old or older.
Moped riders are now required to wear goggles or a face-shield, unless they have a windshield.
Also, folks should be aware that, by definition, a moped becomes a "motorcycle" if it goes over 35 MPH. This is pretty common now, since the marketplace has demanded better performing "scooters".
Check this Link for a description of the new laws: