Science:Math Exam Resources/Courses/MATH102/December 2014/Question A 07/Statement

Shown in the figure below are three graphs of temperature over time, T(t), for objects satisfying Newton’s Law of Cooling, $dT/dt=k(E-T)$ with $k>0$. Which of the following is a reasonable description of the three plots?

NLCGraphs

1. The three objects were all kept in the same ambient temperature $E$.
2. The three objects had different initial temperatures.
3. The three objects had the same constant $k$.
4. The constant $k$ for Object 1 was smaller than the value of $k$ for Object 3.
5. None of the above.