I ran (walked) in a 5K race put on by my employers' "Well-being" group. I had my Android phone running CardioTrainer with its GPS service during the race. I then went to CardioTrainer's website and downloaded a kml version of the coordinates. At every second of the race, it had recorded the GPS coordinates.
I used my own understanding of geometry and the radius of the earth to come up with a formula for instantaneous position, and then instantaneous MPH. I later realized a mistake in the algorithm, but I don't think it would affect the overall calculation by much.
Anyway, I kept up 4.5 MPH for most of the race, and then had a few spurts close to 7 MPH at the end. All this on a knee which was operated upon in April, and was occasionally giving me pain during climbing stairways.
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