Rationale
I have decided to focus this mathematical investigation on volleyball. I have always enjoyed playing volleyball as a sport and I wanted to see if it would be possible to use mathematics to predict if I could win after being a certain amount of points behind my opponent. After doing some research, I noticed that even though it is possible to calculate the basic probability of winning after losing for a few points, there are still many variables that may affect the actual outcome of the game. Thus, I decided that I wanted to focus on one specific aspect of volleyball that would actually help me become a better volleyball player. The technique that I ended up choosing is serving because serving is one of the most basic ways that can
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By disregarding the difference in force and the presence of air resistance, we can find an equation that determines the pathway of the ball. In this case, our definition of a good serve is set as one that is as close to the net as possible. Using this definition, we can find the favorable angle to serve a ball at different heights.
Determining the Equation of the Parabola
From the point where the ball is served to its position above the net and to the point where it falls to the ground creates a pathway that represents a parabola. We can then use a parabola to represent the movement of the ball. By setting the volleyball plane as a coordinate plane, with the net as the y-axis and the ground as the x-axis, we can determine the three points as the position of the ball.
Figure 3: Volleyball Court As a Coordinate Plane
The function of the parabola can be represented with y = ax2 + bx + c. The position where the ball is served is (x1, y1), the position of the ball right above the net is (x2, y2), and the position where the ball lands on the ground is (x3, y3). From these three points, we can derive a system of
“There are four major components in shooting a shot. How tall you are, how far away from the basket you are, the ball’s angle, and the ball’s speed.” You’re height and how far away from the basket you are, will determine what angle you should shoot the ball and how fast you should make the ball go. If you are 5’8” and you are 15 feet away from the basket, you want to shot the ball at a 60° angle and make the ball go 18 miles per hour. This will give you a perfect swish.
The Relationship between the Angle of Elevation of a Ramp and the Speed of a Ball
I will set up the apparatus as shown in diagram and then drop the ball
his teammates push mightily against the opposition. His arms are locked over his teammates' shoulders, all of their heads down. The two teams are pushing against each other like two moose fighting over territory. He looks down to see the ball, sitting just in front of his feet. If he could just hook it with his foot and heave it to his teammate behind him…
play, like the ball must not touch the feet, can’t use the back of the
Golf is an activity enjoyed by people of every age. Everything from the dimples on ball to the angle of the club and the momentum of the swing to the layout of the course golf uses mathematics. Golf has so many aspects that I could have used for this paper, but do to lack of time I choose to focus on specifically the golf ball and golf club. These two items are essential for the game of golf and have also changed the most.
Velocity is also important when jumping to shoot. When you first jump to take the shot, there is commonly a horizontal and vertical component in the jump's velocity. The magnitude of this vertical component of the velocity will determine the amount of time that you are airborne. The more magnitude you have, the higher you will jump. The force used to shoot a ball is created when acceleration and mass are put together. The trajectory path when shooting a basketball is very significant. The ball is acted on by acceleration due to gravity. There is a horizontal axis to show projectile motion, also known as the x-axis. This axis represents the distance the basketball travels, which increases over time. There is a second axis that is vertical, which is the y-axis. The y-axis commonly represents the height that the player is, along with the height of the
This investigation aims to determine the ideal air pressure inside and the ideal material of a ball in order for that ball to achieve its greatest bounce height. This report will be focusing on how the air pressure and material of a soccer ball, basketball and volleyball affects the bounce height of each ball.
· On air shots you have to adjust to the flight of the ball by moving
When Morgan invented his game he came up with a set of rules, however many of his rules have been changed or there are new ones. One of the rules to this game is that before the game starts, there is a coin toss. This coin toss determines which team gets to decide who gets the serve first. There are usually two referees, one at each end of the net. One of the referees stands on a special platform to get somewhat of a “bird’s eye view” (Sullivan).
When playing tennis, I have found that the serve is the most crucial part of the game. The serve is the first shot for any point, so the ability to utilize the serve as needed will give an advantage to the serving player. A great server could win a game with just four winners (shots that the opponent fail to return). Although the serve is a great weapon, it can backfire if the player serves a fault (a shot that hits the net or passes the lines). Just as a player could win a game with four winners, he can also lose with four double faults (a player is given two serves for each point). Personally, I have experienced back fire side of the serves than the edge giving one. My coach recommended that I tried switching my serve type. Currently, I'm serving a flat serve which is basically a serve without spin. My coach showed me the topspin serve which put a backward spin to the ball. At his recommendation, a question struck me: what is the extent of the advantage of a topspin serve over a flat serve?
Now, the participant passing the volleyball must place his or her right leg about six inches above the original standing position, so that your left leg is diagonal from the right leg. Next, the participant must bend his legs into a squatting position, and place all of
Volleyball was originally meant for middle-aged men who weren’t able to move well enough to play basketball, but now it is a fast-paced and highly competitive sport for both men and women. Today, people dive and leap across the floor in order to keep the ball from hitting the ground on their side of the court. So it is safe to say that the game of volleyball has evolved from the relatively calm game it once was when it originated in Holyoke, Massachusetts in 1895. The fundamentals of volleyball include passing, digging, serving, attacking, setting, and blocking. It also involves the skills needed to do these things.
... the next fastest release is 0.54 of a second; but by this time the ball is released, Curry’s ball would already be 12 feet above the court. This analysis shows that things such as angle, trajectory and speed all play a very important role when shooting a basketball.
This idea was chosen due to my background in sports. I have played basketball for the past 6 years 2 of which have been in Raha. Basketball is a sport which involves many aspects of mathematics, the main one being trigonometry. I have found that many times during the game I am required to shoot the ball from distances that exceed the three-point line and therefore require more power in order for the ball to reach the rim. In most games I am able to shoot outside the three-point line but after a while the posing team realises my capability of shooting the ball from large distances and start to push me further back to places on the court where I do not have a capability of shooting