Fill in the blanks :

Explanation

`vecV_0` Velocity of object `= (9 hati+12 hatj)m//s `
` vecV_m ` Velocity of mirror `= -2hati m//s`
`m= (f)/(f-u) =(-20 )/( - 20 - (-30))=-2`
For velocity component parallel to optical axis
` (vecV_(I//m))_(।। ) =-m^2 ( vecV_0 //m)_(।। )`
` (vecV_(I//m),=-(-2)^2 (9 hati-(-2hati)=-44 hati m//s`
For velocity component perpedicular to optical axis
` ( vecV_(I//m))_(bot)=m( vecV_(O//m))_(bot)=(-2)12 hatj =-24 hatj m//s`
` :. vecV_(I//m) =` velocity of image w.r.t mirror
` = ( vecV_(I//m))_(II)+( vecV_(I//m))_(bot) = (-44 i - 24 hatj)m//s`
also `vecV_(I//m) = vecV_1 - vecV_m or `
`vecV_I= ( -44 hati - 24 hatj ) - 2 hati`
`=( -44 hati - 26 hatj ) m//s`