In the situation shown in figure, find the velocity of image.

Options

A. `-11 hati+(8sqrt(3)-3) hatj m//s`
B. `-7hati+3hatj m//s`
C. `-3hati+3hatj m//s`
D. `-11 hati+3hatj m//s`

Answer

D

Explanation

Along x-direction, applying `v_(1)-v_(m)=-(v_(0)-v_(m))`
`v_(f)-(-8 cos 60^(@))=-(3sqrt(2) cos 45^(@)-(-8 cos 60^(@)))`
`v_(f)=(-4) =-3-(-4)`
`v_(f)=2(-4) -3=-11`
Along y-direction `v_(0)=v_(f)`
`:. V_(i)=3sqrt(2) cos 45^(@) =3`
`:. ` velocity of the image =`-11 hati+3hatj m//s`