Problem $2$: $3\mathrm{.}116$ For the container of Fig. P$3\mathrm{.}116$ use Bernoulli's equation to derive a formula for the distance $x$ where the free jet leaving horizontally will strike the floor, as a function of $h$ and $H.$ For what ratio $\frac{h}{H}$ will $x$ be maximum? Sketch the three trajectories for $\frac{h}{H}=0\mathrm{.}25,0\mathrm{.}5,$ and $0\mathrm{.}75.$

P$3\mathrm{.}116$