A plane mirror is moving with velocity 4i+4j+5k.A point object in front of mirror is moving with velocity 3i+4j+5k .Here k is along the normal to the plane mirror and facing towards the object. The velocity of imageis?
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Velocity of the image Vi = 3i + 4j + 11k
Explanation:
Velocity of the plane mirror (Vm) = 4i+4j+5k.
Velocity of the object (Vo) = 3i+4j+5k.
k is along the normal to the plane mirror and facing the object.
Velocity of the image can be derived from:
Vm = (Vo + Vi ) / 2 as per the concept of perpendicular component of velocity of image on plane mirror.
For perpendicular component z,
Vmz = Voz + Viz / 2 = 8
(5 + Viz) / 2 = 8
Viz = 16 - 5 = 11
As per parallel compenents of image on plane mirror concept, Vop = Vip
x and y component of velocity of the image will remain the same as the velocity of the object.
Velocity of the image Vi = 3i + 4j + 11k
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