can anyone provide me with some sources which has information on how mathematics has been used on sports? e.g., trig can help to calculate the best angle to throw a ball or something, the speed of running can affect the height of high jump etc. etc.?
any help greatly appreciated.
It is a combination of mathematics and physics that affects most sports. Pole vaulting heights went up about 4 feet after flexible poles were allowed. High jump records went up about one foot after the "Fosbury flop" jumping method became widely adopted. Can you explain why? It's not just because all the athletes were better.
Why does the initial running speed and jump angle affect the long jump?
In golf, you add up the scores of separate rounds to figure out the winner, in normal "medal" play.
Try figuring out the latest figure skating scoring methods if you want a good example of complicated mathematics determining the winner.
How is the winner of a boxing match decided when there is no knockout? Mathematics.
what is the board behind the net for basketball called?
thx for the help, found a few examples
It is called "the backboard". If it is transparent, it is often called "the glass".
http://www.hitrunscore.com/glass-basketball-backboards.html
Here are a few sources that provide information on how mathematics has been used in sports:
1. "Mathletics: How Gamblers, Managers, and Sports Enthusiasts Use Mathematics in Baseball, Basketball, and Football" by Wayne Winston: This book explores various mathematical concepts used in sports, including probability, statistics, and optimization methods.
2. "Mathematics and Sports" by Joseph A. Gallian: This article discusses the role of mathematics in sports, focusing on examples such as calculating shooting angles in basketball, optimizing player positions in football, and analyzing batting averages in baseball.
3. "Sports Analytics and Data Science: Winning the Game with Methods and Models" by Thomas Miller: This book explores the intersection of sports, data analysis, and mathematics. It covers various topics such as player performance evaluation, game strategy optimization, and predictive modeling in sports.
4. "The Role of Mathematics in Sports" by Dana Mackenzie: This article discusses the use of mathematics in sports, including examples such as calculating the optimal angle for a basketball shot, analyzing the trajectory of a golf ball, and predicting the outcome of a race using mathematical models.
These sources should provide you with more in-depth information and examples of how mathematics is applied in the world of sports.
When it comes to the usage of mathematics in sports, there are numerous examples that highlight its significance. Here are a few sources and examples you can explore:
1. Trigonometry and Projectile Motion:
- In sports like baseball or basketball, understanding the optimal angle to throw a ball can improve accuracy and distance. Trigonometry helps calculate the best angle to aim for when throwing a ball.
2. Physics and Sports Performance:
- The speed at which an athlete runs can greatly impact their performance in sports like high jump or long jump. By analyzing the speed, trajectory, and angle, mathematicians and coaches can determine the optimal jump angle or technique.
3. Golf Scoring:
- Golf scoring methods rely on adding up scores from each round to determine the winner. Understanding how different scoring systems work involves mathematical calculations to determine the final results.
4. Figure Skating Scoring:
- Figure skating scoring methods have become complex and mathematically driven. The scoring system involves assigning points based on factors such as difficulty, execution, and artistic expression.
5. Boxing Scoring:
- When a boxing match does not result in a knockout, the winner is decided based on a scoring system. Judges assign points to each boxer based on criteria such as clean hits, defense, and overall performance.
Regarding your question about the board behind the basketball net, it is called "the backboard". If the backboard is transparent, it is often referred to as "the glass".
For further information and detailed examples, you can refer to the following sources:
- "Physics of Sports" by Angelo Armenti Jr.
- "Sports Math: An Introductory Course in the Mathematics of Sports Science and Sports Analytics" by Roland B. Minton
- "Mathletics: How Gamblers, Managers, and Sports Enthusiasts Use Mathematics in Baseball, Basketball, and Football" by Wayne L. Winston
Additionally, websites like ESPN, Sports Illustrated, or scientific journals like the Journal of Sports Science, European Journal of Sport Science, or Journal of Sports Mathematics can provide further research articles and studies on the topic.