The maximum force with which the car can push against the road is limited by the friction coefficient of the tire multiplied by the normal force. This applies both during acceleration and braking.
The stopping distance remains same with the same tire and road conditions, when the wheels are locked and skidding, regardless of the weight, number of wheels or vehicle load. Maximum braking force occurs when the wheels are braked just before the locking point or point of impending skid. Jones and Childers report coefficients of friction of about 0.7 for dry roads and 0.4 for wet roads.
For a good driver, you need to use both engine braking action as well as foot brakes to stop a vehicle traveling at speeds above 60 kmph. At first the driver shifts from drive or overdrive to third or second gear so that the engine braking brings the speed down and this can be helped with the foot brakes by gradually increasing pressure.
The reason for applying engine braking and foot braking is to prevent what is known as Brake Fade: Since brake lining material is a poor conductor of heat, most of the heat goes into the brake drum or disc during braking. Under severe use, brake drums may reach 590 K temperatures. The coefficient of friction between the drum and lining is much lower at these high temperatures so that additional pedal pressure is required. After a number of severe stops or after holding the brakes on a long down hill grade, a point is eventually reached when the coefficient of friction drops so low that little braking effect is available. This condition is called brake fade. The vehicle will fail to slow down even when brakes are applied at this point.