An object is moving in front of a mirror as s | vedclass

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Question

(A) Given: Velocity of object $\vec{V}_O = -2 \; m/s$ (taking left as negative),Velocity of mirror $\vec{V}_m = +9 \; m/s$ (taking right as positive).

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$(i-b), (ii-c), (iii-d), (iv-a)$

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(A) Given: Velocity of object $\vec{V}_O = -2 \; m/s$ (taking left as negative),Velocity of mirror $\vec{V}_m = +9 \; m/s$ (taking right as positive).$(i)$ Velocity of image $\vec{V}_I = 2\vec{V}_m - \vec{V}_O = 2(9) - (-2) = 18 + 2 = 20 \; m/s$.$(ii)$ Velocity of image w.r.t mirror $\vec{V}_{I/m} = \vec{V}_I - \vec{V}_m = 20 - 9 = 11 \; m/s$.$(iii)$ Velocity of image w.r.t object $\vec{V}_{I/O} = \vec{V}_I - \vec{V}_O = 20 - (-2) = 22 \; m/s$.$(iv)$ Velocity of image if mirror is stopped $(\vec{V}_m = 0)$: $\vec{V}_I = 2(0) - (-2) = 2 \; m/s$.Matching: $(i-b), (ii-c), (iii-d), (iv-a)$.

$(i)$ Velocity of image	$(a) \; 2 \; m/s$
$(ii)$ Velocity of image with respect to mirror	$(b) \; 20 \; m/s$
$(iii)$ Velocity of image with respect to object	$(c) \; 11 \; m/s$
$(iv)$ Velocity of image if mirror is stopped	$(d) \; 22 \; m/s$

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