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題名 | 鉛球投擲軌跡數學模型之研究=A Study for a Mathematical Model of the Shop Put Projectile Motion |
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作者 | 林建德; 姬梁文; | 書刊名 | 高苑學報 |
卷期 | 5:2 1996.08[民85.08] |
頁次 | 頁383-388 |
分類號 | 528.9432 |
關鍵詞 | 鉛球運動; 投擲軌跡; 科學運動訓練; 最佳拋射角; 最大拋射距離; Shot put; Projectile motion; Scientific physical education; Best angle of delivery; Maximum distence of delivery; |
語文 | 中文(Chinese) |
中文摘要 | 本文之主要目的是應用運動學基本原理,建立鉛球投擲軌跡之數學模型。文中首先根據拋物體運動學的概念,推導鉛球投擲軌跡之拋射體拋射距離與拋射高度之運動方程式;然後應用隱函數微分理論,由所得之運動方程式求得最佳拋射角、最大拋射距離、拋射初速度與投擲出手之拋射高度的簡單關係式,並證實了當拋射高度與拋射初速度一定時,僅有一組最大拋射距離與最佳拋射角的解;最後利用微電腦由所得之關係式列出最大拋射距離與最佳拋射角的數值,以做為鉛球投擲科學運動訓練的工具。 |
英文摘要 | This paper presents a mathematical model of the projectile motion for shot put in the physical education. Based on the principle of kinematics, the equation of projectile motion of the sshot put is developed. Then, by using differential calculus, a simple expression of relationships among the best angle of delivery, the maximum distances of delivery, the initial velocity of delivery, and the height of delivery point is introduced. According to this expression, we conclude that the best angle of delivery and the maximum distances of delivery are only related to the height of delivery and initial velocity or delivery. Finally, a diagram for the values of the maximum distance of delivery and the best angle of delivery are developed by computer. The results are used as a tool for the scientific physical education in the projectile motion of the shot put. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。