Loss of velocity is more rapid at higher speeds due to the disproportionately higher energy losses to due air resistance etc, so an extra 5mph at the point of braking would actually equate to less than 5mph extra at the point of impact.
Although that is true if you are going an extra 5MPH then during the time it takes to perceive the danger and start applying the breaks then you would have traveled closer to the danger and then have less distance to do the braking. And the energy of the vehicle is quadratic in the velocity so an extra 5MPH adds much more energy that needs to dissipate so even if the cumulative breaking forces are higher they have more momentum to reduce in less time.