A cyclist carries out two braking tests using the same bicycle and rider on the same level track. The initial speeds are 4.0 m/s and 12 m/s. The brakes exert the same constant braking force in both tests.
The cyclist predicts that the braking distance at 12 m/s will be three times the braking distance at 4.0 m/s.
Explain why the cyclist's prediction is incorrect.