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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 westnorthwest (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?
 one year ago
 one year ago
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 westnorthwest (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?
 one year ago
 one year ago

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whpalmer4Best ResponseYou've already chosen the best response.0
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?
 one year ago

whpalmer4Best ResponseYou've already chosen the best response.0
we can think of this as a line where the slope is 1K/45 miles, the xvalue is the distance from that spot 80 miles WNW of Ann Arbor
 one year ago

whpalmer4Best ResponseYou've already chosen the best response.0
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
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
i thought youd have to use the equation dT/dt=DT/Dt=U*gradientT
 one year ago

whpalmer4Best ResponseYou've already chosen the best response.0
I'm still a little confused about the question here, though...
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
im assuming its temperature advection
 one year ago

whpalmer4Best ResponseYou've already chosen the best response.0
what's the context of this question (what class)?
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
and its discusing dynamics
 one year ago

whpalmer4Best ResponseYou've already chosen the best response.0
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...
 one year ago

ranyai12Best ResponseYou've already chosen the best response.0
its ok thanks for trying though!
 one year ago
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