A car is going in south with a speed of ...

A car is going in south with a speed of `5m//s`. To a man sitting in car a bus appears to move towards west with a speed of `2sqrt(6)m//s`. What is the actual speed of the bus?

`4ms^(-1)`

`3ms^(-1)`

`7ms^(-1)`

none of these

Text Solution

Verified by Experts

The correct Answer is:

`vecv_(c)=-5hatj`

`v_(a,b,c)=-2sqrt(6)hati`
`vecv_(b)=vecv_(bc)+vecv_(c)=-2sqrt(6)hati-5hatj`
`|vecv_(b)|=sqrt(4xx6+25)=7m//s`

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