physics!

The driver of a 1560 kg automobile traveling at 24 m/s on a leve, paved road hits the brakes to stop for a red light. determine the distance needed to stop the car if the coefficient of friction between the car tires and the road is .80

-one of the steps required of me to obtain the answer is: Apply newtons second law in component form to the situation.

i am at a loss please help me

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  1. "Newton's second law in component form" is just
    F = m a in the horizontal direction of motion.

    F is the braking force, M*g*Uk
    where Uk is the coefficient of kinetic friction.

    M*g*Uk = M a means that
    a = g*Uk is the acceleration rate.

    a*(stopping time) = (initial velocity)

    Stopping time = Vo/(g*Uk)
    Stopping distance = Avg velocity*(Stopping time)
    = Vo^2/(2*g*Uk)

    Note that the mass cancels out, and is not needed.

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