Qatar Sand Dunes

In the desert near Doha Qatar, sand dunes constantly shift due to wind erosion and deposition. A group of environmental researchers is studying a crescent-shaped sand dune that moves approximately 15 meters per year due to wind forces. The dune is 120 meters long, 60 meters wide, and 20 meters high. Your task is to develop a mathematical model that predicts the dune’s future location over the next 10 years, considering the constant movement rate. Additionally, analyze how changes in wind speed or direction (e.g., increasing by 10% per year) might affect the rate of movement. Discuss how this model could help in planning infrastructure, such as roads or camps, to avoid being buried by shifting sands.

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