AnotherKiwi - the S-Ped will not take a "normal" rider up a steep hill at 45kph either. The 350 watts will only move weight up hill at a certain pace, whatever it is limited to. Don't forget that the wind resistance is increasing by the square of your speed, so the extra power to get from 45kph to 60kph is colossal compared with 0 to 15. ( 60 sq - 45 sq = 1575, whereas 15 sq = 225)
Nealh, it wasn't idle speculation without riding one. I based my comment on riding my S-Ped and uploading the times ( very briefly!) to Strava. I certainly moved up the tables dramatically from my usual level, but my point is that this put me amongst the faster riders, not way ahead of them. So the speeds I was doing were no greater than others can achieve anyway. I seriously doubt that any of the people who can ride at those sort of speeds are going to hop on an assisted bike any time soon.
25 or 30 mph is quite achievable by the athletes on Strava.
I should say that I then deleted the ride from Strava before I upset anyone!
For those who are not familiar with Strava let me explain it records the details of your ride and then compares you time over "segments" with anyone else who has done that segment. These segments are just sections of road of varying length, they can be uphill, downhill, flat, short, long - whatever.
If anyone is interested, here is a link to my Strava account - I should say all these rides are on a bike with no assistance. You will see I have entered my ebike rides manually so they do not record any segment times.
https://www.strava.com/athletes/690735
If you would like to examine this more take a look at
http://www.exploratorium.edu/cycling/aerodynamics1.html
According to this doing 30 mph on the flat requires 317 watts ( including many assumptions about position, streamlining etc). If you increase the speed to 45 this goes to 1071 watts. I would suggest that if you compare a S Pedelec rider with a trained athlete on a modern road bike, the 350 watts will be needed just to overcome the extra drag from his less aerodynamic position, before you allow for the difference in muscle power.