You'd leave calculator physics for later, and focus on the practical physics of steering your 2-tonne cyclist crushing machine, I would hope.
>steering your 2-tonne cyclist crushing machine
wow
Don't solve systems of differential equations and drive.
You can't take D out of PID.
For most of the population, driving while thinking about a physics problem would be considered distracted driving, unless that problem involved avoiding hitting something in the road.
I would classify calculating how close you can drive to the vehicle ahead of you while being able to stop within 1.0 mm +/- 0.9 mm as reckless driving, not wreckless driving.
That calculation would probably be wrong anyway, unless you have a lot of practical experience with emergency braking. I constantly underestimate my reaction times.