Projectile motion: mathematics SL IA
Dhruv Chavan
Rationale:
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
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My interest in this topic came from my interest in the sport of basketball and the first unit in my physics syllabus. Basketball is a sport that revolves around projectile motion with the projection of the basketball when shooting. However, when shooting a basketball the object (ball) experiences two dimensional motion, meaning that there are both vertical and horizontal factors affecting the trajectory of the ball. Thus the aim of this experiment is to gain an understanding of projectile motion in two dimensions, and to find out at what angle of launch the projectile will gain the maximum distance when the motion is two …show more content…
There is no horizontal force acting on the object, therefore ax= 0, thus, x=vxt or ucosθt.
The only force acting vertically is gravity, therefore ay = gravity (g), therefore y= ½ gt2 + ut or y= ½ gt2 + usinθt
Finding the time the object will be in the
I hypothesize that if I build the ratapult to a 25-degree angle, and release the hacky sack at a height of .55m then there will be enough velocity to project the hacky sack exactly four meters. The ratapult will release the hacky sack with an initial velocity of 5.8 m/s, and as a result the hacky sack will travel 4.0 meters in .75 seconds.
There are three main areas of paintball that I will be analyzing. First the way in which a paintball leaves the barrel of a paintball marker. Second the way in which a paintball fly's through the air and lastly how to determine optimum ranges for paintballs.
For over two hundred centuries, mankind has wrestled with the problem of how to hit an object with another object. From the earliest days of the bow and arrow, to today's modern missile defense system, the need to achieve maximum accuracy and distance from a projectile has been critical to the survival of the human race. There are numerous of ways to solve the problem ranging from trial and error—as early man did—to advanced mathematics including trigonometry and calculus. (While the specific mathematical operations are beyond the scope of this work, we will briefly touch on the equations of motion and how they apply to projectile motion as the project progresses.)
Starting my freshman year at County High School, I played basketball and loved every minute of it. I wouldn’t be conceited enough to say I was good, but God did bless me with the talent to play. My life revolved around the sport of basketball; some would say I slept, ate, and breathed every part of it. I spent all my time training and practicing to make myself a more dedicated athlete. This dedication not only helped me as a player, but also molded me into the person I am today. It somehow helped to prepare me for what defeat I would face with back surgery in the future.
Shooting is probably the most fun part of basketball. The most renowned basketball players in history are efficient and consistent shot makers, whether inside the paint or out of it. Wilt Chamberlain, Larry Bird, Magic Johnson, Michael Jordan, Kobe Bryant and LeBron James…all of them can shoot the lights out of the stadiums they play in.
If you think about it, it’s almost impossible to measure the force that it takes to dribble a basketball, unless you have the right tools. Let’s just think about the basic physics that you should know. In order to dribble a basketball you need to apply enough force for the ball to go from your hand to the floor and back up to your hand. When the ball is in your hand it is holding potential energy. Potential energy is the energy that is about to be transferred into kinetic energy, which is when the energy is in use. The ball is in kinetic energy after it leaves your hand and starts to fall. So the force of gravity has to be less than the force of the bounce to keep the dribbling going.
...e you a great shooter. Although I suffered injuries in my past basketball career which earned me a basketball scholarship to play collegiate basketball, I am now more knowledgeable about my position. This knowledge has helped me reflect on myself and my experiences as a player transitioning to a coach. I believe it is important that I educate my players and teach them proper mechanics but also mental set. Acknowledge that the jump shot is more than a motion of physical ability and talent, it takes a great amount of thinking and implying the information you already know to what you learned. All coaches throughout the country regardless of their level should have knowledge of biomechanics and require there staff to also know the following information. This allows the opportunity for kids to learn the correct technique, prevent injuries, and transform them as a player.
Basketball is a "transition game. Players continuously switch between defensive and offensive plays throughout the game. The plays include strenuous physical, such as running/sprinting, cutting, feints, jumps, and landings. Rapid turns and proximity during one-on-one situations increase the possibility of physical contact. Thus, frequent intermittent running and sprinting characterize the action of the game. Motion analysis has shown that depending on individual playing-time; basketball players cover a distance between 4.6 and 5.8 km per game, with mean heart rates between 80 and 90% of individual maximum heart rates (European Network for Sports injuries prevention, 2008). Consequently, players need to rid of highly advanced basic...
Sports Psychology Today. Mental Edge Athletics, 4 Sept. 2012. Web. 28 Oct. 2013. Forde, Pat.
Behavior modification in athletics requires the development of goals. It needs one overall goal as well as small step goals. Goal setting is one of the strongest motivational tools. Studies have shown that goals should be broken down into short-term or intermediate goals to help attain the ultimate goals; goals must be accepted by the individual; challenging goals are better than easy ones; tracking progress is useful to remain committed to goals; and a plan of action facilitates goal attainment (Annesi, 2004). With the addition of a written contract binding the athlete to their goals it acts as another enforcer to accomplish their desired behavior.
Everyone wants to get better at something, but some want it more than others. In “How to Transform an Everyday, Ordinary Hoop Court into a Place of Higher Learning and You at the Podium”, the narrator wants to get better at basketball, so he wakes up everyday at 4:30 to go with his dad to his work. Everyday, the narrator would wait 3 hours in his dad’s car until the gym opened, only to sit on the bench and watch the other men play basketball. Finally, one of the best players, Dante, tells the narrator he can play but he’ll get “smoked”. However, the narrator proved him wrong. The narrator learns that if you persevere, work hard, and have confidence, your dreams may come true. In How to Transform an Everyday, Ordinary Hoop Court into a Place
There are many aspects to the game of basketball and physics can be applied to all of them. Although to be good at basketball it is not necessary to play it from a physics point of view. Basketball players become good by developing muscle memory for the actions that must be performed in the game of basketball from years of practice. Nevertheless knowing some of the physics in the game of basketball can help a good player be a better player. In this paper I will cover the three most important aspects of the game, shooting, dribbling and passing.
Sports are often identified to have positive influences on many individuals. The sports industry is growing worldwide, especially the basketball industry, which is regarded in second place behind football. The global prevalence of basketball is unquestionable, especially among the young. Basketball is a dynamic team sport that involves a pattern of alternating, active, and skilled movement activities. There are compound demands that require a mixture of individual skills, team plays, strategies, and motivational aspects.
In order to shoot an arrow, one needs to think about their target and what angle is most appropriate to shoot from. There are a lot of factors to keep in mind when doing this. Such as the velocity of your arrow, the optimal height you want, and the distance you want to cover. In my exploration, I wanted to see how the different aspects of projectile motion would affect the compound bow and the conve...
In this assessment of the projectile motion of an object, I found that it can be applied to many useful situations in our daily lives. There are many different equations and theorems to apply to an object in motion to either find the path of motion, the displacement, velocity, acceleration, and time of the object in the air.