Examining Projectile Motion
Introduction
When I was younger, I’d always worry about not being able to reach an object or be able to score a goal in sports. Especially because of my short height, I’d have to find creative ways in order to achieve these things. Projectile motion is just a fancy way of describing the efforts I had to go through in order to throw a basketball into the hoop at a certain height, or hit a golf ball at a certain angle in order to aim it.
Projectile motion is used in our daily lives, from war, to the path of the water in the water fountain, to sports. When using a water fountain or hose, projectile motion can be used to describe the path and motion of the water. This technology was created by finding the angle at which the water would come out at a maximum height and the person using it would be able to drink it without leaning over too much. These types of projectile motion will be further explored and analyzed in this assessment.
There are five critical parts to understanding projectile motion and what it is: acceleration, velocity, displacement, maximum and minimum height, and the vertical and horizontal components.
Projectile Motion
Projectile motion is the force that acts upon an object that is released or thrown into the air. Once the object is in the air, the object has two significant forces acting upon it at the time of release. These forces are also known as horizontal and vertical forces. These forces determine the flight path and are affected by gravity, air resistance, angle of release, speed of release, height of release and spin
Useful for the military, projectile motion can now be used for a number of weapons; which is when an object (like a bullet or cannon) is thrown-projected- and mov...
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... resultant speed and, by the definition of the tangent, to determine the angle of which the object is launched into the air.
Here, we can use the vectors to use the Pythagorean Theorem, a2 + b2 = c2, to find the speed and angle of the object, which was used in previous equations.
Conclusion
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.
This evaluation has not only allowed me explore calculus more in depth, but also physics, and the way the world works. This has personally allowed me to explore the connections between math and real-world situations, which is hard to find in textbooks.
There are many technicalities and terms associated with a successful device. Some of the main factors come from the materials used, and where they were used in the structure. Some are best used in one place, or another. All of this must be taken into consideration when deciding on how to best utilize the physics and forces applied to the boomerang. As it is a simple machine, it dominates in simplicity for a somewhat daunting task.
First the energy of conservation. The setting of the trebuchet before firing is shown in Fig 1. A heavy counterweight of mass (M) (contained in a large bucket) on the end of the short arm of a sturdy beam was raised to some height while a smaller mass (m) (the projectile), was positioned on the end of the longer arm near or on the ground. In practice the projectile was usually placed in a leather sling attached to the end of the longer arm. However for simplicity, we shall ignore the sling and compensate for this omission by increasing the assumed length of the beam on the projectile’s side. The counterweight was then allowed to fall so that the longer arm swung upward, the sling following, and the projectile was ultimately thrown from its container at some point near the top of the arc. The far end of the sling was attached to the arm by a rope in such a way that the release occurred at a launching angle near the optimum value ( most likely by repeated trials) for the launch height. The launching position is shown in fig.2 where we have assumed that the projectile is released at the moment the entire beam is vertical. In the figures: (a)=height of the pivot, (b)= length of the short arm, (c)= length of the long arm, while (v) and (V) are the velocities of (m) and (M), respectively, at the moment of launching.
Once a paintball gets into the air its flight is much like that of a golf ball. There are a verity of forces that act upon the ball once its in the air. The ball always has the force of gravity acting on it. This causes the paintball to travel in an arc and return to the earth.
The definition of a projectile is an object that the only force acting on it is gravity. Projectile motion is the path the projectile takes. We saw and used this topic a few times in our project. The first time we saw it was when the marble was flew out of the pipe and was in the air. The second time we used the topic to make sure the trains fell on the lever in the correct spot so the golf ball would roll. The third time it was used, was when the board fall on the balloon. It fell as half of a parabola since it started standing up.
For almost as long as civilizations began they have been fighting against each other. Often times these wars come down to who has the better military equipment. When one army creates an elite war machine another army is sure to soon copy or improve it. For example the U.S. Army Signal Corps purchased the first ever military aircraft in 1902 (Taylor). Two years later the Italians were also using aircrafts. The trebuchet catapult is no exception; it was one of the most destructive military machines of its time (Chevedden, 2000). A trebuchet works by using the energy of a falling counterweight to launch a projectile (Trebuchet). In this research paper I intend to explain the history and dynamics of a trebuchet catapult.
4. How would you explain your results using the terms: impulse, momentum, force, and time? Use equations to help you explain the results.
A baseball pitcher throws a baseball across the plate and the batter hits it to center field, and elderly man pitches horseshoes, a young person spikes a volleyball, student practices driving a golf ball while a college athlete practices punting a football. Once more, as is the case with pushing and pulling, a widely diverse set of activities has a common denominator. Each of these activities involves sequential movement of the body segments resulting in the production of a summated velocity at the end of the chain of segments used. The path produced by the end point of this chain of segments is curvilinear in nature. Sequential segmental motions are most frequently used to produce high velocities in external objects. Depending on the objective of the skill, speed, accuracy, distance, or some combination, modifications in the sequential pattern may be involved, larger or smaller ranges of motion might be used, and longer of shorter lever lengths may be chosen. Regardless of the modifications, the basic nature of the sequential throwing, striking or kicking pattern remains the same.
Artillery generally falls into three basic categories; guns, howitzers and mortars. The main difference between them being the trajectory of the round fire. A gun has a high muzzle velocity and a very flat trajectory. Normally a gun is used in a direct fire mode where the target can be seen and penetration is desirable. Good targets for a gun would be things like brick or earth forts, ships, buildings, and targets in tree lines.
When you throw a football across the yard to your friend, you are using physics. You make adjustments for all the factors, such as distance, wind and the weight of the ball. The farther away your friend is, the harder you have to throw the ball, or the steeper the angle of your throw. This adjustment is done in your head, and it's physics. Physics is the branch of science that deals with the physical world. The area of physics that is most relevant to football is mechanics, the study of motion and its causes. The three main categories of motion that apply to the game are:
The trebuchet is used with a long wooden arm refreshed on a hinge point, which acted as a big level. A bullet was placed on one end and soldiers in this earlier form of the trebuchet pushed on slings devoted to the other end to fundamentals swing the arm around and throw the
Joe.velocity.y = Joe.velocity.y - Joe.acceleration. Joe.postion.y = Joe.postion.y + Joe.velocity.y.
In our text we began our study of physics with motion because motion is a dominant characteristic of the Universe (Kirkpatrick, 21). In class we learned that speed is the distance traveled divided by the time taken, s=d/t. The definition of velocity is very close to that of speed except that direction of an object is also taken into account.
The value of luck cannot be overstated. A bullet may leave the muzzle of a weapon at over a thousand feet per second and slam into a concrete wall. This may deform the round beyond all recognition. Just about anything can and does happen to flying projectiles.
Volleyball is a sport that includes many elements from physics. Next time you are playing or watching your friend or family member play volleyball think about the elements in physics involved. Without gravity,work velocity, acceleration, work,and the Newton's 3 laws of motion, volleyball wouldn’t be the same. In this paper I will explain how you can use work, velocity, gravity and acceleration along with newton's three laws of motion