A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of $v_0$ (see figure). When the box is half empty, someone tilts it at $45^o $ so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of
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