A motor-driven cycle's definition includes the word "motorcycle" of which a motor bike would not be, because a motorcycle must be self propelled by definition and a MB must be started while moving which takes it out of the category of "self propelled" this also speaks for the issue of mopeds as they point to Motor-driven cycle =p As far as their definitions-
8) "Moped" means a motor-driven cycle that cannot
attain a speed in one mile of more than 30 miles per hour and the
engine of which:
(A) cannot produce more than two-brake
horsepower; and
(B) if an internal combustion engine, has a
piston displacement of 50 cubic centimeters or less and connects to
a power drive system that does not require the operator to shift
gears.
(9) "Motorcycle" means a motor vehicle, other than a
tractor, that is equipped with a rider's saddle and designed to have
when propelled not more than three wheels on the ground.
(10) "Motor-driven cycle" means a motorcycle equipped
with a motor that has an engine piston displacement of 250 cubic
centimeters or less. The term does not include an electric bicycle.
(11) "Motor vehicle" means a self-propelled vehicle or
a vehicle that is propelled by electric power from overhead trolley
wires. The term does not include an electric bicycle or an electric
personal assistive mobility device, as defined by Section 551.201.
24) "Electric bicycle" means a bicycle that:
(A) is designed to be propelled by an electric
motor, exclusively or in combination with the application of human
power;
(B) cannot attain a speed of more than 20 miles
per hour without the application of human power; and
(C) does not exceed a weight of 100 pounds.
self-pro·pelled (sĕlfˌprə-pĕldˈ)
adjective
1. Containing its own means of propulsion:
As the engine cannot be started from a standing point, it does not have its own means of propulsion. However, if you put an ignition in this language would be void and you would have a moped.