A point object is moving with velocity 6 hati+ hatj+2 hatk ( m / s ) in front of a plane mirror whose reflecting side is x z-plane. If the mirror also moves with a velocity hati- hatj ( m / s ), then what is the speed (in m / s ) of the image? (Round-off the answer to nearest integer)

Question

A point object is moving with velocity 6 hati+ hatj+2 hatk ( m / s ) in front of a plane mirror whose reflecting side is x z-plane. If the mirror also moves with a velocity hati- hatj ( m / s ), then what is the speed (in m / s ) of the image? (Round-off the answer to nearest integer) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/5f314156705ba8658cc57feb12b35237-.png" /> =6 hati-3 hatj+2 hatk vI =√36+9+4=√49=7 m / s

Q. A point object is moving with velocity 6i^+j^​+2k^ (m/s) in front of a plane mirror whose reflecting side is xz-plane. If the mirror also moves with a velocity i^−j^​ (m/s), then what is the speed (in m/s ) of the image? (Round-off the answer to nearest integer)

=6i^−3j^​+2k^ vI​=36+9+4​=49​=7m/s

$= 6 \hat{i} - 3 \hat{j} + 2 \hat{k}$
$v_{I} = 36 + 9 + 4 = 49 = 7 m / s$