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?
Stacey Warren - Expert brainly.com
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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?
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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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
i thought youd have to use the equation dT/dt=DT/Dt=-U*gradientT
I'm still a little confused about the question here, though...
im assuming its temperature advection
what's the context of this question (what class)?
and its discusing dynamics
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...