Step $1$

We will consider the pressure at points at the upper.surface of the water and at the hole near the bottom of the tank. These pressures, labeled $P_1$ and $P_2$ at point $1$ and point $2,$ respectively, are shown in the diagram below.

First, we will find the time $t$ for the water droplets to go from point $2($labeled with pressure $P_2)$ to the ground. We solve the equation for the change in vertical position $y$ in terms of the water's initial velocity component $v_{0y}$ under constant acceleration $a_{y^{\text{'}}}$

$y=v_{0y}t+\frac{1}{2}{a}_y{t}^2$

for time $t.$ Since $v_{0y}=0,$ we have

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