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A person moves due east at speed 6m/s an...

A person moves due east at speed 6m/s and feels the wind is blowing to south at speed 6 m/s.
(a) Find actual velocity of wind blow.
(b) If person doubles his velocity then find the relative velocity of wind blow w.r.t. man.

Text Solution

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(a) `overset(vec)V_(ac)=overset(vec)V_(rel)+overset(vec)V_(ref)`
`overset(vec)V_(w)=overset(vec)V_(m)=-6j+6hati`
`overset(vec)V_(w)=6hati-6hatj`
`|overset(vec)V|=6sqrt(2)" m"//s` and it blowing to S-E

Person doubles then `overset(vec)V_(m)=12hati` but actual wind velocity remain unchanged
`overset(vec)V_(wm)=overset(vec)V_(w)-overset(vec)V_(m)=(6hati-6hatj)-12hati`
`overset(vec)V_(wm)=-6hati-6hatj`
Now relative velocity of wind is `6sqrt(2)m//s` to S-W.
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