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Two buses'start from a bus stand with ve...

Two buses'start from a bus stand with velocities `10 kmh^(-1) and 30 kmh^(-1)` along two tracks inclined at an angle `60^(@)`. What is the distance between them after 12 minutes

A

`sqrt(7)km`

B

`2 sqrt(7) km`

C

`3 sqrt(7)km`

D

`4 sqrt(7) km`

Text Solution

Verified by Experts

The correct Answer is:
B
Displacement of first bus in time 12 minute `= vec(OP)=2km`.
Displacement of second bus in time 12 minute `vec(OQ)`=6km
Separation between the two buses after 12 minute `vec(PQ)` where
`vec(PQ)= vec(OQ)- vec(OP)=vecA+(-vecB)`

`PQ= sqrt(A^(2)+B^(2)-2AB cos 60^(@))=2 sqrt(7) km`
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