Question

Write first-order differential equations that express the situation: A Walking Mode, l Construct a mathematical model to estimate how long it will tak

First order differential equations
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asked 2021-05-27
Write first-order differential equations that express the situation: A Walking Mode, l Construct a mathematical model to estimate how long it will take you to walk to the store for groceries. Suppose you have measured the distance as 11 mile and you estimate your walking speed as 33 miles per hour. If it takes you 2020 minutes to get to the store, what do you conclude about your model?

Expert Answers (1)

2021-05-28
d=vt. thus, \(\displaystyle{t}={\frac{{{d}}}{{{v}}}}\)
Recall d^ distance traveled, v: average velocity, t:time.
\(\displaystyle{t}={\frac{{{1}{m}{i}\le}}{{{3}{m}{o}\frac{\le}{{h}}{r}}}}={\frac{{{1}}}{{{3}}}}{h}{r}={20}\) minutes.
According to our model, d=1 mile, and 3 miles per hour.
We conclude that the model is accurate. Since it actually takes 20 minutes to get to the store, and our model predicted it will take 20 minutes also.
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