Bicycles with power sources go way back, and I had one of the earliest forms. It was called a "moped" and instead of having an electric motor with a chargeable battery, these "powered bicycles" had a 2 stroke motor that powered them...with top speeds around 35 miles per hour.
Through the years we modernized and I modernized as well and as you can see below I went from that "moped" to a pretty amazing electric bike.
In between, I owned 3 motorcycle's, but that is a different story.
I will say this...although mopeds were faster, current e bikes are far superior...so the evolution is a very positive one...