Question: dT Avalanche forecasters measure the temperature gradient which is the rate at which the temperature in a snowpack T changes with dh respect to

dT Avalanche forecasters measure the temperature gradient which is the rate at

dT Avalanche forecasters measure the temperature gradient which is the rate at which the temperature in a snowpack T changes with dh respect to its depth h. A large temperature gradient may lead to a weak layer in the snowpack. When these weak layers collapse, dT dh avalanches occur. Avalanche forecasters use the rule of thumb that if exceeds 10C/m anywhere in the snowpack, conditions are favorable for weak-layer formation, and the risk of avalanche increases. Assume the temperature function is continuous and differentiable. Complete parts (a) through (d) below. a. An avalanche forecaster digs a snow pit and takes two temperature measurements. At the surface (h=0), the temperature is -14C. At a depth of 1.1 m, the temperature is -2C. Using the Mean Value Theorem, what can he conclude about the temperature gradient? The average temperature gradient from h = 0 to h = 1.1 isC/m. (Simplify your answer. Round to the nearest tenth as needed.)

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