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A particle is moving with velocity (hat(...

A particle is moving with velocity `(hat(i) + 2hat(j) + 3hat(k))m//s`. A plane mirror exists in the x-y plane. The mirror has a velocity `(hat(i) + 2hat(j))m//s`. Velocity of the image (in m/s) is :

A

increasing

B

decreasing

C

constant

D

can't be say

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(v)=-hat(i)+hat(j)+2hat(k)`
`vec(a)=3hat(i)-hat(j)+hat(k)`
`vec(a).vec(v)=-3-1+2lt0`
hence, `theta gt90^(@)` between `vec(a)` and `vec(v)`
so speed is decreasing
`vec(a).vec(v)=-3-1+2lt0`
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