Consider the configuration of a stationary water tank of cross-section area $A_0$ and a small bucket as shown in figure. $$

What should be the speed, $v$ of the bucket so that the water leaking out of a hole of cross-sectional area $A$ (as shown) from the water tank does not fall outside the bucket? Take $h=5 \mathrm{m}\text{, }H=5 \mathrm{m}\text{,} g=10 \mathrm{m} {\mathrm{s}}^{-2}$, $A=5 {\mathrm{cm}}^2$ and $A_0=500 {\mathrm{cm}}^2$.