For the following images, I used a Canon Powershot SD870 IS. The images were resized and combined into animated gifs using The GIMP.
This is the basic Vertigo Shot. The object was kept still, and I moved the camera. I kept the object centered and sized correctly in the frame by using a feature on my camera that overlays a grid on the screen. The pictures were taken on the floor of my room. I started all the way zoomed out, zoomed in one step, and moved the camera back until the object was correctly sized on screen again.
This is a twist on the classic shot. Rather than moving the camera, I moved the object. I again used the grid on the camera to line up the object. This time I moved the camera far away from the object and zoomed all the way in. I then zoomed out one step and moved the object until it was in the grid cell again.
This was by far the hardest shot. While it is a regular Vertigo Shot, it involved a subject that was not keen on sitting still for long enough for me to take pictures. I took them as quickly as I could, so they are not as well framed as the other pictures I took.
To calculate the field of view of my camera, I first found an easy to measure object. I used my shoe turned sideways, which is exactly 12" long. I then zoomed out all the way and moved the camera to where the shoe filled the image horizontally. This was 11" away from the shoe. I then zoomed in all the way and moved the camera until the shoe filled the frame horizontally again. The distance then was 36".
The field of view is then ~12/11 or about 66 degrees, wide for a point and shoot. Fully zoomed it is 1/3, or ~19 degrees.