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| | | Mad City 100K | | |
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| | | | | | Title: | "Mathematician's Corner" : Lesson 1 | Date: | Wednesday March 16th, 2011 | Author: | Dave Sarocka |
| | | | | Usain Bolt’s world record time of 9.58 seconds for the 100 meter dash corresponds to a speed of approximately 23.35 miles per hour, calculated as follows:
100 meters 9.58 seconds | x | 60 seconds 1 minute | x | 60 minutes 1 hour | x | 1 mile 1609.344 meters | = | 23.3500656791 miles/hour |
Another simple calculation reveals that a “superhuman” who could maintain this speed indefinitely would finish the Mad City 100k in slightly over 2 ½ hours:
9.58 seconds 100 meters | x | 1000 meters 1 kilometer | x | 100 kilometers | = | 9,580 seconds |
This is equivalent to 2 hours, 39 minutes, 40 seconds.
Our race director, Tim Yanacheck, has informed me of a recent study by researchers in biomechanics at the University of Wyoming who, by analyzing human muscle fibers, concluded that it is physically possible for humans to reach a speed of 40 mph. How fast could a person run the Mad City 100k at this speed? Since distance = rate*time, if speed is increased to 40 mph from 23.3500656791 mph, the time would be decreased to 23.3500656791/40 of the aforementioned time:
9580 seconds | x | 23.3500656791 40 | = | 5,592 seconds |
This would correspond to a finish time of 1 hour, 33 minutes, 12 seconds, and the institution of a mandatory steroid testing policy for the 2012 race.
Happily, you would only need to run approximately 22% of this speed in order to beat the course record of 6 hours, 56 minutes, 57 seconds. | | | | |
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| Posted: | March 16th, 2011 1:24 pm | Last Update: | March 16th, 2011 2:44 pm | Viewed: | 8192 | Last View: | August 10th, 2016 3:40 am |
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