Question

You have a cup of coffee whose temperature is 200 degrees. You cannot drink it until it reaches 150 degrees. You also have cream which is 40 degrees. The room you are in is 80 degrees. Assuming your coffee cools according to Newton cooling and than when you add you the cream to the coffee the new temperature of the mixture is instantly 11/13 times the temperature of the coffee plus 2/13 times 40 (the temperature of the cream). Note that the cream isn't warming up because you leave in the refrigerator. Assuming the cooling constant for the coffee is k = .6 min, when should you add the cream

Answer 1

when should you add the creamer to ensure you can drink your coffee the soonest?

Answer 2

the solution is here
http://math.stackexchange.com/questions/363066/newton-cooling-coffee

Answer 3

i dont necessarily agree with it. he says that you should wait to add cream till the last possible second

Answer 4

Might come back to this... but for reference:

http://www.sosmath.com/diffeq/first/application/newton/newton.html

http://www.math.montana.edu/frankw/ccp/calculus/des/intro/cooling.htm