No brakes == quicker acceleration when hit from behind == your body is moving with the vehicle and your head stays safely against the headrest for a longer period of time while the energy of the striking vehicle is absorbed by pushing your vehicle.

Brakes == slower acceleration when hit from behind == your head presses against the headrest for a brief second then the energy is transferred to your body and your head whips forward and you get extreme whiplash or eat the steering wheel.

Good luck with your reasoning, but I'm taking my foot off the brake and probably even hitting the gas. Why don't you just whip that sucker into reverse and put the pedal down so you can have even less chance of whiplash?