If an object moves towards a plane mirror with a speed v at an angle `theta` to the perpendicular to the plane of the mirror, find the relative velocity between the object and the image.

Options

A. v
B. 2v
C. `2vcostheta`
D. `2vsintheta`

Answer

C

Explanation

`vecv_O=vcosthetahati-vsinthetahatj`
`vec_1=-vcosthetahati-vsinthetahatj`
`vecv_((I)/(O))=vecv_I-vecv_O=-2vcosthetahati`
`|vecv_((I)/(O))|=v_((I)/(O))=2vcostheta`