Compute each part of the following problem given below:
Problem: The writing on the passenger-side mirror of your car says “Warning! Objects are closer than they appear.” There is no such warning on the driver’s mirror. Consider a typical convex passenger-side mirror with a focal length of -80cm. A 1.5m -tall cyclist on a bicycle is 22m from the mirror. You are 1.4m from the mirror and suppose, for simplicity, that the mirror, you, and the cyclist all lie along a line.
Part I: How far are you from the image of the cyclist?
Part II: How far would you have been from the image if the mirror were flat?
Part II: What is the image height?
Part IV: What would the image height have been if the mirror were flat?
Part V: What is the angular size of the image of the cyclist?
Part VI: What would the angular size of the cyclist’s image have been if the mirror were flat?
Part VII: Why is there a warning label on the passenger-side mirror?