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Anoop is moving due east with a velocity...

Anoop is moving due east with a velocity of `1 m//s` and Dhyani is moving due west with a velocity of `2 m//s.` what is the velocity of Anoop with respect to Dhyani?

Text Solution

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The passenger observes the velocity of the car w.r.t.. himself. That is, the velocity of the car relative to the train is
`vecv_(omega)=vecv_(c)-vecv_(t)`
`rArrvecv_(21)=vecv_(2)-vecv_(1)`
Magnitude of `v_(21)=|vecv_(2)-vecv_(1)|`
`rArr` `v_(21)=sqrt(v_(1)^(2)+v_(2)^(2))`Direction of `vecv_(21)`
`phi=(tan^(1))(20)/(15)=tan^(1)(4)/(3)`west of north`
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