So what are Mopeds? Here's what Wikipedia has to say about it:
The term "mopeds" now only applies to low power (often super-economy) vehicles, but pedals were a sign of sophistication when first fitted to the early motorcycles, such as the 1912 Douglas in the photograph. Pedalling away from stationary was a great improvement over "run and jump" and LPA (light pedal assistance) was valuable for climbing hills. Better transmissions with wider ranges, better clutches and much better engine performance made pedals obsolete on most motorcycles by 1918 but the pedals on mopeds remained valuable for their original purposes as late as the 1990s.
The earliest mopeds were bicycles with a helper motor in various locations, for example on top of the front wheel; they were also called cyclemotors. An example of that type is the VéloSoleX brand, which simply has a roller driving the front tire. (See picture, below left.)
The word moped was coined by Swedish journalist Harald Nielsen in 1952, as a portmanteau of motor and pedal. It is however often claimed to be derived from "motorvelociped", as Velocipede is an obsolete term for bicycle that is still being used in some languages such as Russian. According to Douglas Harper, the Swedish terms originated from "(trampcykel med) mo(tor och) ped(aler)", which means "pedal cycle with engine and pedals" (the earliest versions had auxiliary pedals).
Other terms used for low-powered cycles include motorbicycle, motorized bicycle, motor-driven cycle, and goped (motorized inline skateboard with T-bar). In German, the terms Mofa (from Motor-Fahrrad, "motor-bicycle") and Mokick (equipped with kick-start) are also used. In Finnish, the common term is mopo (from moottoripolkupyörä, "motor-powered bicycle"). The term noped is sometimes used for mopeds that do not have pedals.