Posted by grace on Saturday, April 2, 2011 at 10:54pm.
First, convert speed (V) to units of m/s.
42.4 km/h = 11.78 m/s
Initial kinetic energy = Work done against friction
(1/2)MV^2 = M*g*Uk*X
M cancels out.
X = V^2/(2*g*Uk) is the stopping distance, if the car is skidding.
If the brakes manage to apply the maximum force that prevents a skid as an automatc braking system (ABS) is supposed to do, the static friction coefficient Us can be used instead of Uk, the kinetic friction coefficient. In that case you get a minimum stopping distance.
They don't say which friction coefficient they are providing.
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