Journal of Mathematics UNP
Vol 5, No 4 (2020): Journal Of Mathematics UNP

Pemodelan Matematika Tendangan Penalti Pada Olahraga Futsal

Hagi Ivano Gusmaldy (Universitas Negeri Padang)
Yusmet Rizal (Universitas Negeri Padang)



Article Info

Publish Date
01 Apr 2021

Abstract

Abstract— Penalty is the best chance to score in a set play situation. The kicker is almost unmatched by anyone except the enemy goalkeeper who is 6 meters away from the kicker. The problem that occurs with this penalty kick is that most players are more concerned with the power of the shot compared to the direction of the ball to a point that is difficult to reach by the goalkeeper, so that many kickers fail to take kicking shots in this futsal sport. The purpose of this study is to determine a mathematical model and interpret the model obtained. This mathematical model is obtained with a range of angles defined using right triangles and trigonometric ratios. Also, the sides of the triangle are calculated using the Pythagorean theorem. Velocity is calculated using a simple projectile motion equation. The numerical method is used to find the velocity range for each corner. The result of the research is that the initial velocity of the ball is 78, 19 km / h, while the angles for each are θ = 38,14o or θ = 51,86 o.Keyword —mathematical model, penalty kick, futsal, angel, velocity.

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Journal Info

Abbrev

mat

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Journal of Mathematics UNP is a journal to publish article from student researches in UNP Mathematics study program, and we also kindly accept other article from outside of our study program related to Mathematics: consists of publication in Algebra, Analysis, Combinatoric, Geometry, Differential ...