Wind across the route

Problem #4

Tags: motion simple

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After studying the case of Wind along the route little Orville came to his elder brother Wilbur with the related question:

"But what if the wind blows from the side, say at exactly 90 degrees to the airship route - it will not help or hinder, right?"

"Why... Think yourself - return to the mind experiments..." - suggested Wilbur.

"Well... If the wind is strong... We don't get where we want... Ah, I see... With a side wind the craft doesn't steer directly to the destination and need to turn somewhat into the wind!"

That is the correct conclusion. From the viewpoint of the aircraft (which is hurled with a side wind) the destination point is moving in transverse direction, which should be accounted for. Your goal is to calculate travel time in such situation. Again V is the "own speed" of the dirigible, relative to air, while W is a wind speed and T is a time of travel in a calm weather. Here comes the numeric example:

V = 40
W = 30
T = 20

Result should be 25.

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