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Let v be the velocity at the surface of liquid. Then from continuity principle, velocity at the orifice will be 3v.
From Bernouli's principle, we have,
where P = atmospheric pressure, is the density of the liquid.
Solving above equation for v, we have
differentiating both sides with respect to time, we get
Acceleration is negative as velocity is decreasing, as H is decreasing.
Note, acceleration is constant, it does not depend on the value of H
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