For The Disbelievers
KE=mv^2/2
That is the equation for kinetic energy, and as you can see, KE is proportional to the square of velocity. KE is what your brakes are turning into heat when you make each and every stop.
SO, plugging in some numbers for a 1000 Kg object:
v= 100, KE = 5000000
v= 90, KE = 4050000, 81% of original KE
v= 80, KE = 3200000, 64% of original KE
v= 70, KE = 2450000, 49% of original KE -just 30 M/s slower, but only half KE!
v= 60, KE = 1800000, 36% of original KE
v= 50, KE = 1250000, 25% of original KE -half the speed, a quarter of top KE!
v= 40, KE = 800000
v= 30, KE = 450000
v= 20, KE = 200000
v= 10, KE = 50000
v= 5, KE = 12500
v= 2.5, KE = 3125
v= 1, KE = 500
v= 0, KE = 0
If this is not making sense to you, read it from the bottom up and see how much KE you accumulate with each 10 units of speed.
You can see your brakes have a much bigger job to do with each 10 units of speed.