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Answer on Mechanics | Relativity Question for nirmala

Question #1903
1. A bird flies in the east direction at speed v = at ms1. The wind is blowing towards north at a velocity of 3 ms1. Write down the dimensions of the constant a. Draw appropriate diagram for solving the problem. Determine the velocity of the bird with respect to the wind at any given instant of time. What is the position of the bird with respect to the ground at t = 60 s if it is at rest on the ground at t = 0 s?
Expert's answer
V=at, V=[m/sec]=[a*sec] → a=[m/sec2 ].

Blue is the speed vector of bird, red speed vector of wind, black the velocity of the bird with respect to the wind.

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The velocity of the bird with respect to the wind at any given instant of time
/cgi-bin/mimetex.cgi?%5Cvec%7BV%27%7D%20=%20%5Cvec%7Ba%7Dt%20+%20%5Cvec%7BV_w%7D%20%5C%5C%20%5Cvec%7Br%7D%28t%29%20=%20%5Cint%28%5Cvec%7Ba%7Dt%20+%20%5Cvec%7BV%7D_w%29dt%20=%20%5Cfrac%7B%5Cvec%7Ba%7Dt%5E2%7D%7B2%7D%20+%20%5Cvec%7BV%7D_w%20t%20+%20%5Cvec%7BV%7D_0%20,%20%5Cvec%7BV%7D_0%20=0%20%5C%5C%20r%28t%29%20=%20%5Cfrac%7Bat%5E2%7D%7B2%7D%20+%20V_w%20t%20%5C%5C%20r%2860%29%20=%20%5Cfrac%7Ba60%5E2%7D%7B2%7D%20+%203*60%20=1800%20a%20+%20180%20%28m%29

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