中.長距離 달리기의 最適戰略에 關한 數理的 模型 = Mathematical Model for Optimal Strategy for Strategy for Strategy for Mid and Long Distance Running

다국어 초록 (Multilingual Abstract)

The mathematical theory of competitive running by Keller, which is based on the Newton's second law of motion, is applied to analyze the track records of the Asian and Korean athlets. In addition, the empirical formular proposed by Toots is used to represent the aver age speed of the runners for various races. The main conclusions arrived at are as follows.
1. According to the Keller theory, running at a constant speed is an optimum strategy throughout the races except the initial two seconds and the final 3 seconds, approximately, for distances greater than certain critical distances. But it is effective to run at a full speed with maximum propulsion, for the short distance sprints.
2. The critical distances obtained from the records are 291m for the World records, and 298 (320m for women) and 303m (330m for women) for Asian and Korean records, respectively. Thus the 400m race may be considered the reference item for the mid-range race.
3. Korean athletes show rather inferior physiological characteristics for the most cases analyzed, with the only exception for the oxygen supply rate of male athelets, which is somewhat greater than that of the Asian records. This may indicate a passilility of future development of superior mid and long distance runner from Korean athletes.