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I did read it, I was being facetious.
There are no sources for these figures, and does not take into account the reduced reaction time in applying the brakes which I mentioned.
So in reality it cannot be taken as a conclusion that a car with greater stopping power would take less time to stop overall than someone with less stopping power but more actual time on the brakes.
The original post I made also referred to a cyclist travelling at 18mph and a car travelling closer to 30 though I admit what I wrote implies stopping distance from the same speed
PhilDAS-
In your contrived situation you might be able to out brake a car travelling at the same speed, but in the majority of situations you won't. You won't in the wet. You won't if the driver is also covering their brakes. etc.
Here's a further link for braking figures with links to sources:- https://www.johannes-strommer.com/diverses/pages-in-english/stopping-distance-acceleration-speed/#bremsweg
A bicycle is about 0.56g (as the previous link I provided suggested) and cars are anything from 0.8g to 1.2g (the range for dry, flat, sealed road).
Greenbank
For the physics in the article that goes on beyond brakeless.
If you can't be arsed to read it then I can't help you.
Is your surname Dunning-Kruger?