# An Evil Vector Problem! [closed]

A person is walking on straight road starting with a velocity $$v$$, the direction of of air ,observed by him makes an angle $$\alpha$$ with his is direction of motion. Now during the race, he finds direction of air rotates by angle $$\alpha$$ at a uniform rotating rate. It is given that air is flowing perpendicular to track. Find length of the track.

## closed as off-topic by Kyle Oman, Emilio Pisanty, John Rennie, Samuel Weir, Qmechanic♦Aug 14 at 8:05

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• Hi and welcome to the Physics SE! Please note that we don't answer homework or worked example type questions. Please see this page in the site help for more on what topics you can ask about here. – John Rennie Aug 14 at 6:33
• But it's my doubt, not a homework – user75659 Aug 14 at 6:33
• A complete problem is your doubt ? !! Show some effort brother and present some working ! It's saves the time of the person answering and displays how much you worked on the problem -_- – Aditya Garg Aug 14 at 7:43

$$\alpha$$ the angle the air speed makes with the person
$$\omega$$ the uniform angular speed
$$t = \alpha/\omega$$ the time of the race
$$vt$$ the length of the road, because air friction is considered negligible