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

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

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

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

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

whpalmer4
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0its ok thanks for trying though!
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