Week 3 Solutions

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solutions to week 3 homework assignment7 2 3 16 newton s law of cooling states that the temperature of an object changes at a rate proportional to the dierence between ...

Filetype PDF | Posted on 26 Jan 2023 | 4 years ago

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...Solutions to week homework assignment newton s law of cooling states that the temperature an object changes at a rate proportional dierence between its and surroundings suppose tem perature cup coee obeys if has f when freshly poured min later cooled in room determine reaches let t be we can write equation form as follows dt k here is still unknown constant greater than zero double check sign higher then ts so negative which what expect wesolve by separating variables z kdt ln kt c ae replacing with given problem units degrees fahrenheit have get since e finally solve for ball mass kg thrown upward initial velocity m from roof building high there force due air resistance magnitude v directed opposite where measured find maximum height above ground first set up dierential right model mg or g again signs gravity pulls down expected meanwhile term oriented it positive going this how drag behave notice also acceleration dv must now assuming graph over time roughly parabola should only exce...

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Posted on: 26 Jan 2023 | 4 years ago
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