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August 10th, 2016
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| || ||Mad City|
|Title:||"Mathematician's Corner" : Lesson 1|
|Date:||Wednesday March 16th, 2011|
|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:|
| = ||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:
|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:
| = ||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.
Click any thumbnail below for its larger image.
|Posted:||March 16th, 2011 1:24 pm|
|Last Update:||March 16th, 2011 2:44 pm|
|Last View:||August 10th, 2016 3:40 am|