An object is taken out of a 21 degree C room and placed outside where the temperature is 4 degree C. Twenty-five minutes later t
he temperature is 17 degree C. It cools according to Newton's Law. Determine the temperature of the object after one hour. Round to the nearest tenth of a degree.
So the Newton's law of cooling state that the rate of changing in temperature is proportional to the different in temperature, in other words:
where t is the time in minute, k is the cooling constant and is the environmental temperature. This differential equation can be solved to have a form of