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Two cars adjacent to each other on a highway. The first car accelerates uniformly at 3m/s2 the moment the light turns green. The second car is moving at 18m/s and is beside the first car at the instant the light changes and continues driving with a constant velocity. When are the cars side by side again?

  • physics -

    Write equations for position from the light (X) vs time (t) and set them equal to each other.
    Solve for t.

    X1 = (a/2) t^2 = 1.5 t^2
    X2 = 18 t

    18t = 1.5 t^2

    1.5 t (t - 12) = 0

    One answer is t=0. What is the other?

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