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The driver is reversing a car at 2m/s. The driver sees in his rear view mirror a truck parked behind his car. Find the speed at which the image of the truck appears to approach the driver. Explain your answer.

4 m/s?

Yessss correct, explain it now xD

Ok, so when u look into a mirror, your image appears to be twice as far as the distance between you and the mirror. So going by that the image of the truck appears twice as far as it really is. So when the car approaches the truck at 2m/s, since the image appears to be twice as far as it actually is , the truck should appear to being approached at 4 m/s since the image appears to be twice as far apart as the actual distance between them. I did this by intuition and not actual physics calculation.

Does that make sense? Atleast it did in my head.

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That is pretty much the correct answer. However, you can't say that the image is twice as far behind... as a convex mirror is used in rear-view mirror which always forms an erect and diminished image due to which the truck seems to be far away (but it can't be said it is twice as far)

Ahh true. This only applies to plane mirrors. So wouldn't that mean the actual answer would not be 4m/s rather some other value depending on the curvature of the mirror?

The answer is indeed 4m/s because the distance between the car and image will decrease at a double rate

Ohh I see. I did not know that.

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