You are called to the crime scene immediately and you begin your investigation at 2 pm. the first thing you do is take the temperature of the body it is 84.4°f. you immediately walk over to the apartments thermostat and find that has been set at 68°f. the crime scene continues to be investigated wood samples taken and bagged. as everyone is finishing up, you take the temperature of the body again exactly 5 hours later and the temperature reads 79.6°f assume normal body temperature is 98.6°. what was the time of death? use newton’s law if cooling

As per Newton's law of cooling we know that

in 5 hours the body temperature becomes 79.6 from 84.4

while the surrounding temperature is given as 68 degree F

now from above formula

now let say the person died "t" time ago

now we will have

so he died at approx 5 Am in  morning

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d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day