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Math Help - Cooling problem

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    Cooling problem

    A thermometer is taken from a room temperature 22degreesC and placed outside where the temperature is -10degreesC. One minute later, the thermometer reads 10degreesC. Use Newton's law of cooling to find the temperature T of the thermometer after t minutes.
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    Quote Originally Posted by calculuskid1 View Post
    A thermometer is taken from a room temperature 22degreesC and placed outside where the temperature is -10degreesC. One minute later, the thermometer reads 10degreesC. Use Newton's law of cooling to find the temperature T of the thermometer after t minutes.
    Newton's law of cooling says that the rate of temperature change of an object is directly proportional to the difference between the object's temperature and the temperature of its environment.

    \frac{dT}{dt} = k[T - (-10)]

    separate variables, integrate, and get temperature, T , as a function of time, t .
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