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Figure shows a plane mirror and an obje...

Figure shows a plane mirror and an object that are moving towards each other. Find the velocity of image.

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Along x-direction, applying (relative velocity of image w.r.t. mirror) = -(relative velocity of object w.r.t. mirror).
`rArr v_(i)-v_(m)=(v_(0)-v_(m))`
`rArr v_(i) -(-5 cos 30^@ )=-(10 cos60^@ - (-5 cos 30^(@)))`
`:. v_(i)=-5(1+sqrt3)ms^(-1)`
In the direction paralled to the surface of mirror:
Along y-direction, `v_(0)= v_(i)`
`:. v_i= 10 sin 60^(@) = 5m s^(-1)`
`:.` Velocity of the image = `=-5(1+sqrt3)hati +5hatj m s^(-1).`
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