Why is it that the distance it takes to slow down increases more and more the faster you go? Such as it takes a longer distance to slow from say 60 to 30 than 80 to 50. Does the car pull less braking g at higher speeds?

 

Braking converts kinetic energy into heat. Kinetic energy is proportional to the <U>square</U> of the velocity. Slowing from 80 to 50 converts 1.5 times as much energy to heat as from 60 to 30.