The Arctic tern is an amazing bird that migrates 22,000 miles from the North Pole to the South Pole every September (and back home every April). At dawn on a certain September day, one bird is flying due south past Lisbon, Portugal, a distance of 3,124 miles from his Arctic home. He is flying at a constant velocity of 17 miles per hour. How far, in miles, will he be from home at sunset, exactly 12 hours later?
For constant velocity \(v\), distance traveled \(\Delta x\) is given in terms of time \(\Delta t\) as follows, by the definition of \(v\).\[v \overset{\text{def}}{=} \frac{\Delta x}{\Delta t} \longrightarrow \boxed{\Delta x=v\Delta t}\]
so will it be 2920 miles?
Careful! If it's flying south, that means it's flying away from its Arctic home.
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