Suppose that the diameter of the hole in Example 18.9 is \(10.0 \mathrm{~mm}\), the bucket diameter is \(0.50 \mathrm{~m}\), and the distance from the hole to the water surface is \(0.30 \mathrm{~m}\). At what speed does the water emerge from the hole?

Data from Example 18.9

Water leaks out of a small hole in the side of a bucket. The hole is a distance \(d\) below the surface of the water, and the cross section of the hole is much smaller than the diameter of the bucket. At what speed does the water emerge from the hole?