At the initial moment three points \( A, B \) and \( C \) are on a horizontal straight line at e...

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At the initial moment three points \( A, B \) and \( C \) are on a horizontal straight line at equal distances from one another. Point \( A \) begins to move vertically upward with a constant velocity \( v \) and point \( C \) vertically downward without any initial velocity but with a constant acceleration \( a \). How should point \( B \) move vertically for all the three points to be constantly on one straight line. The points begin to move simultaneously.
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