Water from a tap emerges vertically downwards with initial velocity $4 ~m/s$. 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 $\frac{2}{3} A$,is $(g=10 ~m/s^2)$ (in $~m$)

• A
  $0.5$
• B
  $1$
• C
  $1.5$
• D
  $2.2$