Two cars start from rest at the origin at t=0. The first has a known, constant acceleration k. The second has a weird engine that increases its power so that the car has an increasing acceleration given by at2, with α a known constant. When will the two cars again be at the same point? Where will they be when they are at the same point?

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Two cars start from rest at the origin at t=0. The first has a known, constant acceleration k. The second has a weird engine that increases its power so that the car has an increasing acceleration given by at2, with α a known constant. When will the two cars again be at the same point? Where will they be when they are at the same point?

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