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A rod AB of length 2m moves in horizonta...

A rod `AB` of length `2m` moves in horizontal `x-y` plane. At any instant end a of the rod is at origin and has velocity `vecv_(A)=2hati+v_(y)hatj`. The other end `B` at the same instant is moving with velocity `vecv_(B)=3hati+6hatj`. The rod makes an angle of `30^(@)` with the `x-`axis at this instant (see figure)
The value of `v_(y)` is

A

`6 m//s`

B

`(6+sqrt(3))m//s`

C

`(6sqrt(3))m//s`

D

none of these

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