How quickly do you approach your reflection?

Question

If you run toward a plane mirror at a speed of 2.7 m/s, how quickly do you approach your reflection?

The answer is 5.4 m/s...how do I solve?

Answer 1

Speed is d/t.



Where ever you be in front of mirror, the image will at the the same distance. So oyur distance is x, image distance is also x. So image is at 2x from you.



If you move 1 metre in 1 second, you mirror will move 2 x 1 metre in 1 second.



Here Speed is 2.4 m/s.



Which means you cross 2.4 metre in 1 second, but to you the image moves 2 x 2.4 metre in 1 second or 5.7 m/s.



I hope you got my point of view.

Answer 2

Your image in a plane mirror is always twice the distance between you and the mirror. This means that if you are approaching the mirror at 2.7 m/s then so is you image, creating the overall impression that you're approaching your image at 5.4 m/s.

Answer 3

multiply by 2

Answer 4

multiply by two.