# MATH EE 31/34 A

안녕하세요 2018 May session에서 Math로 EE를 작성했고 총 34점 중 31점이라는 고득점을 받아 EE에서 A를 받았습니다. 주제는 “MATHEMATICAL ANALYSIS OF A PERFECT FREE KICK IN SOCCER; What is the angle from the ground at which a soccer player should kick the ball to score a free kick?” 이고 스포츠와 수학을 접목시켜 Math ee를 작성하시길 원한다면 참고하시면 좋을 것 같습니다.

[목차]

Introduction……………………………………………………………………………………………. 3

Investigation…………………………………………………………………………………………… 5

Assumptions………………………………………………………………………………………………. 5

Forces acting on the flight of a ball……………………………………………………………….. 6

Drag and lift coefficients……………………………………………………………………………… 9

Goal target………………………………………………………………………………………………… 15

Equations for trajectory of the ball………………………………………………………………. 16

Numerical approximation………………………………………………………………………….. 20

Conclusion…………………………………………………………………………………………….. 27

Appendix……………………………………………………………………………………………….. 29

Bibliography…………………………………………………………………………………………. 30

[본문내용]

### Introduction

Free-kick, one of the set pieces in a soccer match, can prove to be a crucial chance for a player to score a goal for his team. When a player commits a foul like harsh tackling outside the penalty box, the opponent team gets a direct free kick on the spot where the foul has been committed. The opponent team players must stay 10 yards (9.15m) away from the ball, until the free kick is shot by a player.[1] The opponent team players almost always form a wall in front of the ball in the hope of blocking the shot from reaching the goal. However, a well-shot free kick can swerve around the wall or pass over the wall, making the wall futile, and score a goal. There are different styles of shooting topspin dip free kick, banana kicks (curling the ball) and knuckleball shots.

In my extended essay, I have modeled the trajectory of a soccer ball kicked with pure sidespin, which passes over the wall and bends to the top corners of the goal. The optimal angles of elevation to bend the ball to the corners have been investigated from the trajectory of the ball…

• 총 페이지수: 32 pages
• 과목명: Extended Essay
• 주제: [MATHEMATICAL ANALYSIS OF A PERFECT FREE KICK IN SOCCER] What is the angle from the ground at which a soccer player should kick the ball to score a free kick?
• The file is in Word format.