The place you get your hair cut has two nearly parallel mirrors 6.50 m apart. As you sit in the chair, your head is 3.00 m from the nearer mirror. Looking toward this mirror, you first see your face and then, farther away, the back of your head. (The mirrors need to be slightly nonparallel for you to be able to see the back of your head, but you can treat them as parallel in this problem.) How far away does the back of your head appear to be?

Explanation:

Given:

distance between two nearly parallel mirrors, distance between the face and the nearer mirror, So, the distance between the back-head and the mirror,

From the given information by the laws of reflection we can deduce the distance of the first reflection of the back of the head of person in the rear mirror.

Distance of the first reflection of the back of the head in the rear mirror from the object head:

is the distance of the image from the object back head.

Now the total distance of this image from the front mirror:

Now the second reflection of this image will be 10 meters inside in the front mirror.

So, the total distance of the image of the back of the head in the front mirror from the person will be:

Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.