Physics
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Newton s law of cooling states that the temperature of an object changes at a rate

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings (the ambient temperature). if we measure temperature in degrees celsius and time in minutes, the constant of proportionality k equal 0.5. suppose the ambient temperature ta(t) is equal to a constant 95 degrees celsius. write the differential equation that describes the time evolution of the temperature t of the object.
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Jasten
Jasten
4,6(20 marks)

s=600 m

t=12 s

s=0.5*a*t² (initial speed V0=0)

a=(2*s)/t²

a=(2*600)/12²

a≈8.33 m/s²

L= s(t2=12s)-s(t1=11s) -> (distance during the twelfth second)

L=0.5*a*(t2²-t1²)

L=0.5*((2*s)/t²)*(t2²-t1²)

L=0.5*((2*600)/12²)*(12²-11²)

L ≈ 95.83 m

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