Posted by **sandy** on Tuesday, December 4, 2012 at 5:01pm.

Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the following function:

u(t)=T+(u-T)e^kt K<0

￼

where T is the constant temperature of the surrounding medium,

u ￼is the initial temperature of the heated object, and

k is a negative constant for a specific object

Our normal body temperature is usually warmer than the ambient air temperature indoors. Therefore, upon death, the body temperature will exponentially decay according to the function above. For the human body, k = -1/-2.5￼, if temperature is measured in Fahrenheit.

Q) At 8:30 AM, the police forensic team was called to the Calgary home of a person who had apparently been murdered sometime during the night. In order to estimate the time of death, the person’s body temperature was measured. At 9:00 AM, the body temperature was 84.6 degrees Fahrenheit. Estimate the time of death.

## Answer this Question

## Related Questions

- math - Newton’s Law of Cooling states that the temperature of a heated object ...
- math-urgent please help - Newton’s Law of Cooling states that the temperature of...
- math-urgent - Newton’s Law of Cooling states that the temperature of a heated ...
- Math - Using Netwon Law of Cool, the graph of T(t)=S+(T subscript --S)e^kt ...
- Calculus - Newton's Law of Cooling states that the rate at which an object cools...
- Precalc - A corpse was discovered in a motel room at midnight and uts ...
- Pre-Calculus - A corpse was discovered in a motel room at midnight and uts ...
- College Algebra - According to Newton's law of cooling, the rate at which an ...
- math - Suppose that you are a CSI and you are called to a crime scene at 12:00 ...
- calculus - Newton’s law of cooling states that the rate of cooling of an object ...

More Related Questions