When a brake pedal is pushed, this causes brake pads to be ushed against the wheel, which causes friction and ,consequently, work done.
The work done between the brakes and the wheels transfers energy form the kinetic energy store of the wheels to the thermla energy stores of the brakes, so the brakes increase in temperature
The faster a vehicle is oing, the more energy is has in its kinetic energy store, so more work has to be done to stop it. This means a reater braking force is needed to stop it within a certain distance
A larger braking force means a larger deceleration, very large decelerations can be dangerous as they can cause the brake to overheat (so they don't work as well) or cause the vehicle to skid
To estimate the braking force needed to stop a car within a certain distance, use v^2 - u^2 = 2as to work out the deceleration and f = ma to work out the total force needed to stop the vehicle
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