Suppose a gust of wind has carried a 52-μm-diameter dust particle to a height of 340 m. If the wind suddenly stops, how long will it take the dust particle to settle back to the ground? Dust has a density of 2700 kg/m^3, the viscosity of 25∘C air is 2.0×10−5N⋅s/m^2, and you can assume that the falling dust particle reaches terminal speed almost instantly.

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