Water from a tap emerges vertically downwards with initial velocity $4\;ms^{-1}$. The cross- sectional area of the tap is A. The flow is steady and pressure is constant throughout the stream of water. The distance h vertically below the tap, where the cross- sectional area of the stream becomes $\bigg(\large\frac{2}{3}\bigg)A,$ is $(g=10\; m/s^2)$:

Question

\[\begin {array} {1 1} (1)\;0.5\;m & \quad (2)\;1\;m \\ (3)\;1.5\;m & \quad (4)\;2.2\;m \end {array}\]