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A car starts from rest and accelerates unifomly at 3m/s^2. A second car starts from rest 6 seconds later at the same point and accelerates uniformly at 5m/s^2. How long does it take the second car to over take the first car?

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  1. Solve this equation for t:

    (3/2) t^2 = (5/2)(t-6)^2

    You should get an equation of the form
    at^2 + bt + c = 0.

    Take the root that is t>6

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