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As dry air moves upwards, it expands and then cools at a rate of 1°C for...

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Basic Math

As dry air moves upwards, it expands and then cools at a rate of1°C for each 100 m rise, up to about 12 km.

a. If the ground temperature is 20°C, find an expression for thetemperature T as a function of the height h. Assume a linearfunction.

b. Use this function to predict the temperature at 5 km up fromground level.

c. Find the derivative of the function with appropriate units.What does the derivative of the function represent?

d. Is the rate of air cooling increasing as air moves upwards(to 12 km)? Explain.

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