Tracking the World Records
With the 2012 Olympics upon us, and records waiting to be broken, it might be a good time to consider some aspects of track and field. I need to write this now, because once the track part of the Games is underway, I fully intend to spend quality time with a television set. Why do I like track? Well, what school sport might one take up if one is (read: was) scrawny and not very (read: very not) coordinated?
I will focus on men's track, but the gist of this almost certainly applies to women's as well. We'll look at speeds of world records and how they change as the distances get longer. I'll start with a Demonstration by my Wolfram Research colleague Sy Blinder, "How Fast Can You Run?" The Demonstration shows that speeds follow an interesting pattern, which is covered by me here. Along the way I will also inadvertently reveal that I know nothing whatever about data modeling.
To underscore the comment about records being broken, I will point out that several of the record times listed in Blinder's Demonstration are already out of date. Below is a current list, of the form {distance, time} measured in {meters, seconds}. I omitted the less common distances because they might not be indicative of the best possible efforts, even among elite athletes.