Nerd-sniped on my holiday :)
I saw a stat along the lines of going 2 mph faster than the car in front means you will travel 10m further.

The real question is: How fast would you hit them?

This is what this plot shows.

(60 mph front car, back car at [62, 64, 66, 68] mph reacting 1.5s later, braking at -6.5ms^-2)

The code is available at https://www.github.com/cjen1/braking-distance

Massive shout out to SymPy which turned multiple queries to WolframAlpha and some very very buggy manual code into fast and readable symbolic code!

GitHub - Cjen1/braking-distance

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GitHub