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19 September, 16:54

A woman drives 6 miles, accelerating uniformly from rest to 70 mph. How long does it take for her to reach 70 mph?

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  1. 19 September, 18:10
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    Using the two kinematic equations that can be used for this problem are:

    Vf = Vi + at and d=Vit + (1/2) * at^2

    Since Vi (initial velocity) = 0

    The equations can further be simplified where a is the acceleration, t is the time, Vf is the final velocity which is 70 miles per hour and d is 6 miles

    Vf = at

    70 = at

    a = 70/t---equation 1

    d = (1/2) * a * (t^2)

    6 = (1/2) * a * (t^2) - - - equation 2

    Substituting equation 1 to equation 2.

    6 = (1/2) * (70/t) * (t^2)

    6 = 35t

    t = 0.17142 hours or 10.28571 mins or 617.14 sec
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