Question

A person moves with a velocity v towards a plane mirror. With what velocity does his image move towards him?

Answer 1

2v is right answer.

Answer 2

Answer:

The velocity of image w.r.t object = 2v

Explanation:

We understand that, for a plane mirror, the distance of image formed withinside the mirror is identical as the distance of the object from the mirror.

Distance of object = u

Distance of image = -u (because the image is formed on the alternative side)

Thus, distance among the object and its image = 2u

Now if the object is drawing near the mirror with a velocity v, distance travelled with the aid of using it in a unit time = v units

The new distance among mirror and object = u - v

Distance among the object and its image = 2(u-v)

We see that during a unit time, the distance among the image and the object is decreased through 2v units.

Thus, the velocity of image w.r.t object = 2v

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