Introduction
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?
For this investigation, I will explore how can a topspin serve be consider a "safe shot" than a flat serve. Data such as the speed of the serve, the height of the contact between the racket and the ball, and the layout of the court will be collected from my own tennis career and the local court. I plan on finding the angle of availability (the angle range for a serve to be in) for both the topspin serve and the flat serve through the use of formulas found in research. By manipulating these formulas, I also intend to explore the other factors of the serve which could benefit from the spin such as the height of contact and the speed.
Background on the Serve
To some tennis may seem like a complicated sport, but behind the jargon ...
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...high. Thus θ=-0.0137 is accepted as the maximum angle.
Converting to degrees: -0.0137•180/π=-0.7849≈-0.785˚
The range for θ is {θ|-0.0622≤θ≤-0.0137}
Thus, the angle of availability is [-3.57˚,-0.785˚]
The trajectory of the maximum angle and minimum angle serves can be graphed as:
The minimum θ function(A): X=27cos(-0.0622)t
Y=2.61+27sin(-0.0622)t-1/2•9.81t²
The maximum θ function(B): X=27cos(-0.0137)t
Y=2.61+27sin(-0.0137)t-1/2•9.81t²
Function A above passes Y=0 when t=0.578. This value of t represents the time the ball first hits the ground. Function B passes Y=0 when t=0.693 . As both functions passes Y=0, they show the time the ball bounced up from the moment it first hit the ground. Function B takes has longer flight time compared to function A; this is reasonable since function B has more distance to travel and it has the same velocity.
Tennis serve Introduction to tennis Tennis is a sport that can be played individually against a single opponent (singles) or between two teams of two players each (doubles). Each player uses a tennis racket that is strung with cord to strike a hollow rubber ball covered with felt over or around a net and into the opponent's court. The object of the game is to play the ball in such a way that the opponent is not able to play a valid return. The player who is unable to return the ball will not gain a point, while the opposite player will.
Points are scored only by the serving side when it serves an irretrievable serve (an ace) or wins a rally. Losing the serve is called a sideout in singles. In doubles, when the first server loses the serve it is called a handout and when the second server loses the serve it is a sideout.
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The innovations in the material of the tennis racquet — the strings and the frame — have changed tennis throughout the years; thus, fundamentally changing the game by allowing players to hit with more power, spin, and racquet speed. Many star professional tennis players in the past and present use new technology to help take their game to new levels. The change from a wooden racquet to a carbon-fiber tennis racquet and the change from cow gut strings to non-gut synthetic strings have changed the way tennis is played.
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Investigating How the Height From Which a Table Tennis Ball is Dropped Affects Its Bounce
A good service in volleyball is important to a winning strategy. Either an effective serve will not be returned, leading to a point, or it will be returned with minimal strength, providing the serving team with the advantage. One aim of a good serve is to provide the receivers with little time as possible to react. Forces and angles are the two main factors at play when relating volleyball with math (Papageōrgiou & Spitzley, 2003). In short, in order to relate volleyball with math, the force needed to make the ball move a certain height or distance, the angle required to make the ball over the net, and the arrangement of players, such that less players cover more ground need to be well illustrated. This paper connects the concept of mathematics to volleyball, explaining various models of a served volleyball in details.
Years of playing the game and not improving, Gawande incidentally finds himself play tennis with a young man who is a tennis couch. The young man gives Gawande a tip about keeping his feet under his body when hitting the ball. At first he is uncertain, stating, “My serve had always been the best part of my game….. With a few minutes of tinkering, he’d added at least ten miles an hour to my serve. I was serving harder than I ever had in my life” (Gawande, 2011, p.3).
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I 'm going to compare tennis to golf to reveal the similarities and differences between the two sports. I think you will be surprised how similar they are. They both depend on the swing of your body; grips of your hands, the strike zone of the ball and both are a mental game. Tennis and golf are also very different in many ways. The types of balls used to play the game, materials used to make the balls and equipment used to hit the balls. Tennis is a team sport and an individual sport. But golf is primarily a single player against the golf course. The exertion level differs by sport. Both sports are challenged by weather and attire. I 'm writing this essay because I had played golf for many years before I switched
Serving starts each point play. The players stand on opposite ends of each other, and the person serving is called the Server and the other the Receiver. Serving must be done from behind the baseline. When serving, toss the ball in the air and hit it before it touches the ground. There is a service court that the ball must land in first only when serving. It is a square opposite end of service area. The Server becomes the Receiver, and the Receiver becomes the Server after each game. After a good service ball, the ball is in play. Play does not stop until one of the players hits the ball out of bounds, into the net, or fail to hit the ball before it bounces twice. Serving just takes practice and can be a main asset in tennis.
Hearing the loud “thump” as the ball hits the racket is extremely satisfying, especially if your life now revolves around this fast-paced and exhilarating sport. Tennis is an outdoor game played by two individuals or pairs of players on a clay or grass court that’s divided by a low net. Each game is played with tennis rackets and small, yellow elastic balls. Tennis was first introduced in Wales and the United Kingdom in 1873 by “Major Walter Wingfield” (tennistheme.com). While most sports are easy to pick up, tennis takes extreme dedication to learn how to play the game, to perfect the amount of technique it takes, as well as its great impact on one’s personal life.
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