A point object is moving with a speed of 10 m/s infront of a mirror moving with a speed of 3 m/s as shown in fig. Find the velocity of image of the object with respect to mirror, object and ground.

Text Solution
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Sol.

= Velocity of object = (–5
– 5
) m/s
= Velocity of mirror = 3
m/s.
For component of velocity perpendicular to mirror
(
) ⊥ ⊥ = – (
) ⊥ ⊥ = – (
–
)
= – (– 5
– 3
) = (5
+ 3)
m/s
For component of velocity parallel to mirror
(
) || = (
) || =
–
= – 5
– 0 = – 5 
(
) = (
) ⊥ ⊥ + (
) ||
= (5
+ 3)
– 5 
Also,
=
– 
(5
+ 3)
– 5
=
– (3
)
or (5
+ 3)
+ 3
– 5
= 
or
= (5
+ 6)
– 5 
Also,
=
– 
= (5
+ 6)
– 5
– (5
– 5
)
= (5
+ 6 + 5
)
+ (5 – 5
)
= (10
+ 6) 
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