You place a tray of 60°F water in a freezer that is set at 0°F. The water cools according to Newton's Law of Cooling T (t) = T, + (To T,) e-kt where T is temperature, t is the number of hours the tray is in the freezer, T, is the temperature of the surrounding air, and To is the original temperature of the water. The water freezes in 4 hours. What is the S cooling constant, k? (hint: water freezes at 32°F Round your answer to the nearest hundredth.

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A:

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A: Question is solved.

Q: What's the final temperature?

A: We will find out the required values.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.