Question: A balloon carrying a first-order thermometer with a 15-s time constant rises through the atmosphere at 6 m/s. Assume temperature varies with altitude at -0.15oC/30

A balloon carrying a first-order thermometer with a 15-s time constant rises through the atmosphere at 6 m/s. Assume temperature varies with altitude at -0.15oC/30 m. The balloon radios temperature and altitude readings back to the ground. At 3000 m the balloon says the temperature is 0oC. What is the true altitude at
which 0oC occurs?

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