At the initial moment three points and are on a horizontal straight line at equal distances from one another. Point begins to move vertically upward with a constant velocity and point vertically downward without any initial velocity but with a constant acceleration . How should point move vertically for all the three points to be constantly on one straight line. The points begin to move simultaneously.
Let
and displacement of point .
From similar triangles we can write,
From first two equations we have,
From last two equations we have,
Equating Eqs. (i) and (ii), we have
or
Comparing with we have,
Initial velocity of is and acceleration
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