A (closed) umbrella 1m long is placed 10cm off the optical axis of a convex mirror. It is oriented parallel to the optical axis. The umbrella's tip is 50cm from the mirror (thus the end of its handle is 150cm from the mirror.) The mirror has a focal length of 25cm. a) Use three different locations along the umbrella, as three different objects. (The nearest and furthest ends, and the center, are good choices.) Find the image location for each of these three "objects." b) Use those three object locations as reference points to draw a diagram of the umbrella's image, as it would appear in the mirror. Include the actual umbrella in this diagram as well. c) Is the image curved or straight? Is it longer, shorter, or the same length, when compared with the actual umbrella?

A (closed) umbrella 1m long is placed 10cm off the optical axis of a convex mirror. It is oriented parallel to the optical axis. The umbrella's tip is 50cm from the mirror (thus the end of its handle is 150cm from the mirror.) The mirror has a focal length of 25cm. a) Use three different locations along the umbrella, as three different objects. (The nearest and furthest ends, and the center, are good choices.) Find the image location for each of these three "objects." b) Use those three object locations as reference points to draw a diagram of the umbrella's image, as it would appear in the mirror. Include the actual umbrella in this diagram as well. c) Is the image curved or straight? Is it longer, shorter, or the same length, when compared with the actual umbrella?