Going a bit on a tangent while thinking about my entry...

Years ago, longer than I care to remember, my university took part in some psychological study on "male versus female brain". Part of that study was a task to "draw a bicycle". I challenge you all to try it. You do not need to show the result, do it for yourself. I will reveal the key in a few days' time.

That's a tough challenge!

Only if they are powered by "bio gas". I recommend a big bowl of beans before riding.

Truer words have never been spoken!

What's your cruising speed and the range of your electric bike?

In Germany the most common type of electric bicycles is limited to 25km/h, which is below my usual cruising speed on good surfaces. You can still ride faster than that, but you won't get any assistance. So for me the motor and battery would mostly be dead weight.
There are other types of bikes that assist up to 45km/h, but these come with other legal limitations that make them largely impractical.

As for range, my "spontaneous horizon" is somewhere around 100km/day. I can ride longer distances, but that requires mental and physical preparation.
At that point though, most battery packs seem to be at or beyond their limit anyways, and that's not even taking battery age or low temperatures into account.
Quite frankly, my main point for not wanting an electric bicycle is that there is no easy and relatively cheap way to replace a 5 years old worn out battery pack. So either I'd have to open the pack and replace the cells myself (which is beyond my current skills), or I'd have to individually task someone to do it for me (which is expensive), or buy a new original pack (which is also expensive, assuming that after 5 or 10 years such a pack would be available at all).
The solution intended by the manufacturers seems to be, to throw away the otherwise perfectly working bike and buy a new one.

Just don't do it!
The distance that front and rear wheel travel differs in corners. The sharper the corner the more the rear wheel will tend to push you outwards.

That being said I'd advise against a front wheel motor altogether. Sure, it's one of the easiest ways to retrofit a traditional bike, but having a self-powered front wheel can be dangerous in corners. There you usually need the grip to transmit lateral forces. The grip between your tyres and underground is limited, and any force in driving direction takes away grip from that lateral direction. That's also why you brake before reaching the bottom of a corner and not while passing it.

On one of my tours I once encountered an elderly couple who rode electric bicycles with front motors. In a sharp corner the lady turned up the motor which led to her front wheel losing grip. She dropped pretty badly, her battery pack was knocked off the frame and only missed me by centimeters.

There are several solutions for wind-powered trikes, either via surf sails or para sails.
With these you can cross against the wind, although that might be kind of impractical during rush hour.

Edit:
I think I know that study or at least its summary, and I believe that summary was based on a fatal flaw in the conceptual formulation:
If you task someone to "draw a bicycle" (in a limited amount of time) they will usually draw a rough sketch that others will recognize as the representation of a bicycle, just like you'd draw a stickman to represent a person. This sketch will of course miss a lot of essential details that are necessary for an actually functioning bike, but are not necessary for the sketch to be recognized as a bicycle.
The study then went on to criticize these sketches for being sketches, just like one might criticize a stickman for not being survivable because it has no place for organs.

Right now I am going to bed...
but tonight I will respond in this post to some of what sulu asked and referred to.

February on a winter off road tour..
Since last February I replaced the front and back tires with big knobbies ...had to remove the fenders ...drill a new axle hole in the frame to move rhe wheel back and add a section of chain...the knobbies were that big... Adds almost 6 inches to my height...and fabulous grip on any terrain now...
I will post a pic here in this post the next days off I have of the modifications.
This is my bike ...
32km average up to 48...
It has speed adjustment if less is desired.
ABS disk braking ...once the front brake is engaged .5 seconds later the rear brake auto engages to prevent the rear from going out of control .
I get between 160 to 200 km on a charge from the 2 batteries ...and it costs .25 cents to charge the pair ...from a standard outlet...at about 3 hours to charge each battery fully ...
It is not necessary to license.
And it it a considered walk on. ..free ...on the ferry.
So it is my perfect work commuter.

Well, that's quite different from what I'd consider a bicycle.
In Germany that would be considered a "Mofa" [1] (Motorfahrrad = motor bicycle) - due to changes in legal classifications an almost extinct category of vehicles somewhere between bicycles and motor bikes.
I think here, the heaviest vehicle that people would still see as a bicycle would be a fatbike with an electric motor, which would make it a "Pedelec" [2] by German law.

[1] https://de.wikipedia.org/wiki/Mofa
[2] https://en.wikipedia.org/wiki/Pedelec

This bike has...spec wise...the torque of a Honda civic...
I can tow 200 lbs of groceries easy.
A second rider ...easy.
It is a good durable ride I have been using now for more tha 3 1/2 years
The line of this cycle has been in production since 2012...It is a collaborative effort.
Japanese Panasonic lithium ion batteries with a lifespan of 10 years... (Currently I have lost zero off the top of the batteries after daily driving for 3 1/2 years...so I am very impressed..) An excellent rebate for turning them in for new batteries when the time comes...
German Bosch motor
Chinese manufacture ..
And Italian design.

The motorcycle model ...which looks almost identical...in build ...but feels much more road hugging compared...
Has the same battery life and distance ...
Same everything ...except speed...
Does 80 km an hour easy.
There is no zero to 60.
It is instantaneous .
Rides like a dream.
I will post current photos of the pair and do some gopro fun with them and post the link...

We have all kinds of electric bikes out here...
All shapes and sizes...
But when it came down to it...
The one in the photo was actually much much cheaper than an upper end electric bicycle for sale out here.

That and the quality and the reviews ...were a no brainer for me.
Also...
Out here like anywhere else...
On the road ...drivers take other drivers seriously.
Drivers do not take pedestrians or cyclists seriously.
This bike "looking" like a motorcycle (and frankly performs better in many regards especially maneuvering ) and this bike "looking" like it would seriously damage someone's car or truck if they hit me...
Is a good respectful ...deterrent .
The simplicity of the build of this bike too...is superior compared to the bits and pieces and parts a typical
electric bicycle has...
Which means far less can go wrong for me ..
Which I like very much.

English is a funny language. "Bicycle" in unambiguous, but "bike" can mean either a "bicycle" or "motorbike".

Equally confusing is the word "canoe" which, at least in England, may also mean "kayak". That confused me to no end, since to me the two are completely different things.

Agreed

I have spent most of my life hiking swimming camping, kayaking and canoeing and all such fun outdoor activities ...since I was a kid.
The good fortune to live in places where walking out the house...literally was the start of the fun.
City life ...I have enjoyed...but it isn't for me.

I'm a horrible at freehand and actually never drew anything with gimp but this remotely reminds me of a bicycle...

OMG... Now I know... That really reveal everything about your childhood...

Try something in Finnish... Word "Kirkkovene" can be very differend where you say that... It can be boat or... pu.sy

And "Pyörä" could be bicycle, wheel, motorcycle, "your life" etc... wellcome here