A car can be braked to a stop from the autobahn-like speed of 200km/h in 170m, assuming the acceleration is constant, find its magnitude in
(a) SI units and
(b) In terms of g.
(c) How much time Tb is required for the braking? Your reaction time Tr, is the time you require to perceive an emergency, move your foot to the brake, and begin the braking. If Tr = 400 ms, then
(d) What is Z6 in terms of Tr, and
(e) Is most of the full time required to stop spent in reacting or braking? Dark sunglasses delay the visual signals sent from the eyes to the visual cortex in the brain, increasing Tr.
(f) In the extreme case in which Tr is increased by 100ms, how much farther does the car travel during your reaction time?