anonymous
  • anonymous
A Michigan student is driving southeastward (passing Ann Arbor) at a speed of 45 miles/h and measures a temperature rise of 1 K/h. In addition, we observe that the air at a point 80 miles west-north-west (WNW) of Ann Arbor is 4 °C colder than in Ann Arbor. Assume that the temperature varies linearly in the WNW direction. What is the local temperature change in Ann Arbor?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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whpalmer4
  • whpalmer4
Okay, so the driver is going 45 miles every hour. The temperature rises 1 K/h, so every 45 miles, it rises 1 K, right?
anonymous
  • anonymous
right
whpalmer4
  • whpalmer4
we can think of this as a line where the slope is 1K/45 miles, the x-value is the distance from that spot 80 miles WNW of Ann Arbor

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More answers

whpalmer4
  • whpalmer4
in fact, the assumption that the temperature varies linearly invites that very thought, because any linear equation can be written as y = mx + b, by definition, really
anonymous
  • anonymous
i thought youd have to use the equation dT/dt=DT/Dt=-U*gradientT
whpalmer4
  • whpalmer4
I'm still a little confused about the question here, though...
anonymous
  • anonymous
im assuming its temperature advection
whpalmer4
  • whpalmer4
what's the context of this question (what class)?
anonymous
  • anonymous
calc 3
anonymous
  • anonymous
and its discusing dynamics
whpalmer4
  • whpalmer4
hmm...I think I'm going to have to bow out, I'm not confident at this point that I understand the question. sorry! at first it looked like this was just a simple application of slope of a line problem...
anonymous
  • anonymous
its ok thanks for trying though!

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