Question

Please answer #6, and show work. I added an image of #4 for reference

6. In Problem 4 of Homework 1 the drone flew from its second delivery back to the warehouse a distance of 6.76 miles. Due to a mild wind in the eastem direction, the drone had to fly at a direction 65.0° north of west, relative to the air. The speed of the drone in the air is 30.0 mph. Relative to the ground, the drone flew in a straight line back to the warehouse. Find: (a) the speed of the wind, and (b) the time it took the drone to fly from the location of its second delivery back to the warehouse. Note: this is a relative velocity problem. The velocity of the drone relative to the air should be Vy, the velocity of the wind should be v2, and the velocity of the drone relative to the ground should be 13. Draw pictures, put the pieces together.

Answer 1

Initially I assumed that v₃ made an angle alpha with the wind, then alpha was equal to 90 degree, so its horizontal component is zero and then I equated the respective components.

Gron ve direction of wind And . V3 cose Vicoso - vz [since the wind only has a horizontal Component it to ohly va single = #visina affects the hou routal comparant of the drone x- angle of 3 relative to the velocity] V = 30см * Since Relative to the the ground, the drone e flow . n a straight line . » Horizontal component of us is zeu * V3 cooxto 7 Vicoso =V2 7N2 = 30 cos 650 = 12.678 mph Now V3B- Visings = 27-189 mph Now distance betutta is 676 miles : Time taken = 9 6.76 = 0.2484 = 14.9 minutes = 15 minutter 27.189

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