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(solve using differential equations not trig) You just received a drone! After a little practice, you...

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Advance Math

(solve using differential equations not trig)

You just received a drone! After a little practice, you try along-range test of it by having it carry a small package to yourhome. A friend volunteers to take it 5 miles east of your home withthe goal of flying directly back to your home. So you program andguide the drone to always head directly toward home at a speed of 6miles per hour. However, a wind is blowing from the south at asteady 4 miles per hour. The drone, though, always attempts to headdirectly home. We will assume the drone always flies at the sameheight. What is the drone's flight path? Does it get the package toyour home? What happens if the speeds are different? What if theinitial distance is different? How much time does the drone’sbattery have to last to get home?

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