### Home > APCALC > Chapter 10 > Lesson 10.4.1 > Problem 10-159

10-159.

According to Newton’s law of cooling, the rate at which an object cools (or warms) is directly proportional to the temperature difference between the environment and the object itself. Three years ago the corpse of Dr. Deadman was discovered in the coroner’s office. The room temperature of the coroner’s office was (

Dr. Deadman’s body was found at 5:05 p.m. An hour later the body had cooled to

. At what rate was the body cooling when it was found? Solve the differential equation:

Now useand to solve for the values of the parameters. What is

? Approximately when was Dr. Deadman killed?

Normal body temperature is

.