A water hose is used to fill a rectangular tank of width H and height twice as its width. The hose jets out water 45° from the horizontal the same level as the bottom of the tank. If the distance of the hose to the tank is 6 times its width, compute the maximum initial velocity so that the water will still enter the tank.

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A water hose is used to fill a rectangular tank of width H and height twice as its width. The hose jets out water 45° from the horizontal the same level as the bottom of the tank. If the distance of the hose to the tank is 6 times its width, compute the maximum initial velocity so that the water will still enter the tank. Express your answers in terms of H.
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