I got curious about braking distances on a bike. The
wikipedia article states you can get 0.5g of deceleration out of the front brake before you hit your limiting factor of pitching over the handlebars. Let's say that out in the real world you're actually applying a constant 0.3g of braking though. This is 2.95 m/s^2 (9.82 m/s^2 * 0.3)
Say you're cruising along at 50mph (22.4 m/s) and you need to come to a full stop. This will take 7.6 seconds (22.4 m/s divided by 2.95 m/s^2). During that time your average speed is 11.2 m/s and so you travel about 85 meters (11.2*7.6). This is a little over 0.05 miles.
Of course that assumes you're on level ground. Maybe double that stopping distance if you're going down a reasonable (6-7%) hill? That's still just a tenth of a mile to go from 50mph to zero.