Question

(solve using differential equations not trig)

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

Answer 1