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 2 years 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?
 2 years 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?

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whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0Okay, so the driver is going 45 miles every hour. The temperature rises 1 K/h, so every 45 miles, it rises 1 K, right?

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0we 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

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0in 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

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0i thought youd have to use the equation dT/dt=DT/Dt=U*gradientT

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0I'm still a little confused about the question here, though...

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0im assuming its temperature advection

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0what's the context of this question (what class)?

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0and its discusing dynamics

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0hmm...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...

ranyai12
 2 years ago
Best ResponseYou've already chosen the best response.0its ok thanks for trying though!
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