I pulled the emergency brake to stop faster.
I don't want to be a downer, but unless you're on snow or sand, pulling the emergency brake is more likely to increase braking distance rather than shorten it. The point of anti-lock braking systems is to prevent drivers from applying the brakes so strongly that the wheels lock up.
The coefficient of static friction that your rolling wheels have with the road is much higher than the coefficient of kinetic friction that your sliding wheels have with the road. If you pull the e-brake and induce a slide in your rear wheels, you've almost certainly increased your braking distance.
Fortunately, you haven't increased it much, because braking causes a weight transfer forward to the front wheels. Under heavy braking, the rear wheels are unloaded, and don't contribute much to stopping the car anyway. Preventing them from locking up does contribute to stability though, and with modern-day anti-lock braking systems that can brake each wheel individually, a high level of control is maintained even under panic braking. With the brake pedal fully depressed, the car should still be steerable.
