An object moves with 5 m/s towards right while the mirror moves 1 m/s towards the left as shown. Then the velocity of image

Ans: (a)

Sol: $ \displaystyle \vec{V_{im}} = $ velocity of image w.r.t mirror

$ \displaystyle \vec{V_{om}} = $ velocity of object w.r.t mirror

Hence ,

$ \displaystyle \vec{V_{im}} = – \vec{V_{om}} $

$ \displaystyle \vec{V_i} – \vec{V_m} = -(\vec{V_o} – \vec{V_m})$

$ \displaystyle \vec{V_i} = 2 \vec{V_m} – \vec{V_o} $

$ \displaystyle \vec{V_i} = 2 (-1) – 5 = -7 $

V_I= 7m/s towards left