When moving on a flat surface, the average amount of brake pressure needed is quite predictable by solving the simple equations of physics. But when going uphill and downhill on mountains that one has never before driven on, the average amount of brake pressure means very little, since the acceleration and deceleration required is highly dependent on the local slope at the time. A flat-land driver in the mountains inevitably ends up riding the brakes too hard down hills. -Forbes -Vineer Bhansali
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Lower tire pressure means more contact surface area with the road for gripping during braking. As a result, maximum braking performance should be obtained at the lowest possible tire pressures (dependent on factors like vehicle weight, max speed,..) Higher tire pressure reduces grip levels for the same braking torque on the wheel due to reduced contact area, resulting in a longer braking distance. Braking distance is affected by a variety of other factors such as tire compounds, surface tire, and weight distribution, which are more difficult to control than tire pressure.
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We've seen tires fall off in some steep terrains.
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If the temperature becomes too high, or if there is too much dirt in the wheel bearings, they may begin to lock up or grind.