Thanks to Empsy of Cape Story by The Sea for putting together this list of City of Virginia Beach Code.

Sec. 7-49. Safety equipment required, moped operators and passengers.permanent link to this piece of content
(a)
Every person operating a moped on a public street or highway of the city shall wear a face shield, safety glasses or goggles approved by the superintendent of state police, or shall have his moped or gas-powered wheeled device equipped with safety glass or a windshield at all times while operating such vehicle; and any operator and any passengers thereon, if any, shall wear protective helmets of a type approved by the superintendent of the state police.
(b)
Any person who knowingly violates this Section shall be guilty of a traffic infraction and shall be subject to a fine of not more than fifty dollars ($50.00).
(Ord. No. 2848, 10-26-04; Ord. No. 2952, 6-27-06)
Sec. 7-50. Helmets required for riders of bicycles, electric personal assistive mobility devices, electric power-assisted bicycles, motorized skateboards and motorized scooters fourteen years of age or younger.permanent link to this piece of content
(a)
Every person fourteen (14) years or younger shall be required to wear a protective helmet which meets the standards promulgated by the Consumer Product Safety Commission Standards whenever riding or being carried on a bicycle, electric personal assistive mobility device, electric power-assisted bicycle, motorized skateboard or motorized scooter on any highway, street, sidewalk or bicycle path.
(b)
A violation of any provision of this section shall be punishable by fine of twenty-five dollars ($25.00). However, with respect to any person riding or being carried on a bicycle, electric personal assistive mobility device, electric-powered-assisted bicycle, motorized skateboard or motorized scooter, such fine shall be suspended (i) for first-time violators or (ii) for any violator who, subsequent to the violation but prior to imposition of the fine, purchases a helmet of the type required by this Section.
(Ord. No. 2848, 10-26-04; Ord. No. 2952, 6-27-06)

Sec. 7-59. Regulations pertaining to riding on city sidewalks and bicycle paths other than the resort area.permanent link to this piece of content
(a)
It shall be unlawful for any person to ride a moped or motor-driven cycle on any sidewalk or designated bicycle route within the City.
(b)
Except as otherwise provided in this Chapter, riding a bicycle, electric personal assistive mobility device, electric power-assisted bicycle, motorized skateboard or motorized scooter is permitted on the sidewalks and designated bicycle paths of the City.
(c)
A person riding a bicycle, electric personal assistive mobility device, motorized skateboard, motorized scooter or electric power-assisted bicycle upon and along a sidewalk, or across a roadway upon and along a crosswalk, shall yield the right-of-way to any pedestrian, shall give an audible signal before overtaking and passing such pedestrian, and shall dismount and walk the bicycle, electric personal assistive mobility device, motorized skateboard, motorized scooter or electric power-assisted bicycle when necessary to avoid physical contact with any person; and
(d)
A violation of this Section shall be punishable by a civil penalty of not more than fifty dollars ($50.00).

Sec. 7-60. Reckless riding; speed.permanent link to this piece of content
(a)
No person shall ride a bicycle, electric personal assistive mobility device, electric power-assisted bicycle, motorized skateboard, motorized scooter, low-speed vehicle or moped recklessly or at a speed faster than is reasonably proper, or in a manner so as to endanger the life, limb or property of the rider or of any other person.
(b)
It shall be unlawful for any person to use or operate roller blades, roller skates or any similar devices on wheels or runners whether such use is permitted or not, recklessly or at a speed faster than is reasonably proper, or in a manner so as to interfere with pedestrians or to endanger the life, limb or property of the rider or any other person.
(Ord. No. 2848, 10-26-04; Ord. No. 2952, 6-27-06)
Sec. 7-61. Racing.permanent link to this piece of content
(a)
Bicycle, electric personal assistive mobility device, electric power-assisted bicycle, motorized skateboard or motorized scooter, low-speed vehicle or moped racing on the highways is prohibited except as authorized in this section.
(b)
Bicycle, electric personal assistive mobility device, electric power-assisted bicycle, motorized skateboard, motorized scooter, low-speed vehicle or moped racing on a highway shall not be unlawful when a racing event has been approved by the City Manager on any highway under the jurisdiction of the City. Approval of bicycle, electric personal assistive mobility device, electric power-assisted bicycle, motorized skateboard, motorized scooter, low-speed vehicle or moped highway racing events shall be granted only under conditions which assure reasonable safety for all race participants, spectators and other highway users, and which prevent unreasonable interference with traffic flow which would seriously inconvenience other highway users.
(c)
By agreement with the approving authority, participants in an approved bicycle, electric personal assistive mobility device, electric power-assisted bicycle, motorized skateboard, motorized scooter, low-speed vehicle and moped highway racing event may be exempted from compliance with any traffic laws otherwise applicable thereto, provided that traffic control is adequate to assure the safety of all highway users.
(Ord. No. 2848, 10-26-04; Ord. No. 2952, 6-27-06)