>>1125723> ...does the increase of speed increase the threshold of force the brakes need to apply for the wheels to start skidding?Kind of. The equation you are looking for is:
F = P / V
F - brake force
P - brake power
V - velocity
As you can see, the faster you go, the stronger brake you can use because if the F is constant, then brake power can be increased. This is why you can grab a handful of brake and skid only at the lowest velocities - where static friction will overcome dynamic one and wheel will lock. Moreover:
F = uN - where N is the force of push. Notice the positive feedback loop when you brake with the front. The harder you stop, the higher is N, thus higher friction can be achieved.
Just about any brake can lock a wheel at 5km/h. Not very many can do the same at 40km/h in regards to front.