5. (15 points) Consider an airborne particle with a diameter of 18 µm and a density of 1,600kg/m³. a) Find the settling velocity of this particle. Assume the density of

air is negligible andthat the viscosity is 0.0172 g/(m*s). b) If this particle had been hurled to a height of 8,000 m during a volcanic eruption,estimate the time required (in days) to reach the ground. c) If winds average 10 m/s and are perfectly horizontal, how far away would the particleland (in km)?