Kinesiology, Vol. 17. No. 1., 1985.
Original scientific paper
The mathematical model of oblique trajectory of body flight
Pavle Opavsky
; Fakultet za fizičko vaspitanje univerziteta u Beogradu, Beograd
Abstract
Man solves a large number of complex movements, particularly in sports, using the principles of oblique trajectory of body flight. The maximum reach of the oblique trajectory depends upon the initial speed, elevation angle an the difference between the point of dash and the point of fall. Since maximum initial speed and the maximum level difference on one, and the optimal elevation angle on the other hand, are sought for, it is necessary to point out the relations among these three parameters, and their quantitative values which for each individual determine his maximum result. Since a large number of complex mathematical operations is involved, an appropriate program for the computer was done. After classification of data (algorithm, convention with the computer language, input of data into the computer into the computer program) the obtained results, shown digitally and analogously, point out the optimal relations among the relevant parameters of oblique trajectory of body flight. On the basis of these results, quantitative relations among initial speed, elevation angle and level difference were established. In this study was determine the concrete value of elevation angle for each initial speed as well for each level difference between the point of dash and the point of fall, in the actual range. Generally speaking, the optimal elevation angle decreases as the values of initial speed and level differences increase.
Keywords
oblique trajectory of body flight; mathematical model
Hrčak ID:
256277
URI
Publication date:
4.4.1985.
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