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During a football game the ball is airborne a large percentage of the time. For this reason it is important to understand to principles that govern the motion of the ball in flight. This paper explores the various equations associated with the movement of the ball in flight. Numeric techniques are utilized to solve some of the equations and represe...
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Citations
... Namun, dari penelitian mereka dan penelitian lain yang terkait oleh Akbar [1] dan Leela [7], penulis belum menemukan penelitian tentang pembuktian keberlakuan persamaan solusi lintasan tersebut pada kondisi sesungguhnya, khususnya pada tendangan bola yang menghasilkan gol. Oleh karena itu, penulis terdorong meneliti keberlakuan persamaan solusi lintasan tersebut pada kondisi sesungguhnya lewat perbandingan antara lintasan hasil persamaan matematika dan lintasan dari hasil tracking software atas video sejumlah pertandingan sepak bola. ...
Banana kick is a type of soccer kick that uses the Magnus effect. The Magnus effect is a change in the direction of the ball's trajectory caused by the Magnus force. The force arises when a ball moving in air rotates on its axis. This research was conducted to analyze the ball entering the goal as a result of the Magnus force created by footballers. By means of Tracking Video Analysis and Modeling Tool software to several video tracks of football matches, it can be obtained the initial velocity, elevation angle, and angular velocity to determine the reach and heigh of the ball and the pertain Magnus force. The results of this study can be used in banana kick training.
... The motion of a ball through the air is one of the most complex problems in sports science, and it is still not completely understood to this day. One of the reasons why this problem is so challenging is that, in general, there are many different forces acting on the ball, including: gravity, drag and Magnus force, which in their turn depend on the ball's mass, cross-sectional area, form and shape, as well as on the external factors such as air density and the air velocity [1][2][3][4][5][6][7] . Since there are many football kick simulators for modeling how the same kick behaves under different external conditions, it is often difficult to decide which one to choose. ...
... The system doesn't include wind, so we had to add the wind component. This has been done according to the method described in [2] by Leela J. et al. The wind ̅ may be represented as a superposition of two winds Wx and Wy -parallel to OX and parallel to OY, respectively. ...
Using our ball flight simulator, we studied how the trajectory of a goal kick may be affected by atmospheric conditions such as altitude, wind and temperature. Based on our analysis we make rough approximations and recommendations for athletes and coaches. For starting velocities lying between 20 m/s and 35 m/s, the range of a goal kick started at 45° will be increased by about 0.7-2.2 m with each 1000 m increase of altitude depending on the starting velocity. At sea level each increase of the head/tail wind by 1 m/s will decrease/increase the range of such a goal kick by about 0.8-2.3 m and its trajectory will be deflected by about 0.5-1.5 m for each meter per second of a crosswind depending on the starting velocity. The increase of temperature by 5 °C at sea level is approximately equivalent to the increase of altitude by 150 m. The research also has educational purposes: knowing the strength of their kicks, the sportsmen will be able to select the best angle for a kick taking into account the wind and altitude. They will be able to better predict a trajectory of a football during a game and occupy better positions.
A detailed work based on the second-order ordinary differential equation is presented to solve oscillation in the trajectory projectile motion of cricket ball for damped alternating external force ( ) problems. This paper purpose to compute the distance time depends horizontal and the distance time depends vertical. The parabolic path of trajectories for a projectile motion of cricket ball increase oscillation with the value of parameter and is the storm force.
