Originally Posted by 46x17
Who says both need to come to a full stop? Take that into a account and the picture will change.
It really doesn't though. Coming to a complete stop faster is accomplished by slowing down faster. You can stop applying the braking forces at any time, but the process of decellerating is phyiscally faster with a brake. Therefore, if you are require to slow down the same amount in either situation, the brake will slow you down more quickly.