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A bird is flying with velocity 5hati + ...

A bird is flying with velocity ` 5hati + 6hatj ` w.r.t wind and wind to blowing along x-axis with velocity u. if bird starts moving from A and after some after some time reaches point B (see figure), find the value of u ?

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Given that, ` vu_(b.w) = 5hati + 6hatj , vecU _(w.g) = u hatu " then" , vecu_(b.w) = vecu_(b.G) - vecu _(w.G)`
` Rightarrow vecu_(b.G) = vecu_(b.W) + vecv_(W.G) = 5hati + 6hatj + u hati = (5 + u) hati + 6hatj`
` tan 37^(@) = (|6 hatj|)/(|(5+U)hati|) = 6/(5 + U) = 3//4 Rightarrow 15 + 3u = 24`
3u = 24 - 15 =9
u = 3 m/s

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