Newton's Law of Cooling states that the temperature u of a heated object at a given time t can be modeled by the function No Image where T is the constant temperature of the surrounding medium, u_0 is the initial temperature of the heated object, and k is a negative constant.
Respond to one of the following three questions.
1. What is the physical significance of the fact that k is negative?
2. This function has a horizontal asymptote. Where is it and what is its physical significance?
3. u_0 is claimed to be the initial temperature of the heated object. How does the equation support this?