Research 3 facts about Newton's Law of Cooling, be sure to explain this law in your own words. Cite your resources. This phenomenon is modeled with a differential equation, and that equation may be solved to give T(t) = TA + [T0 − TA]b t where T(t) is the varying temperature of the object at a given time, t, TA is the surrounding ambient temperature, T0 is the initial temperature of the object, and b is a constant that depends on the material the object is composed of and how fast it heats or cools. Suppose you decided to make a cup of hot tea heated to 220 F in the kitchen that is at 70 F. 1.Solve the above equation for the constant b.