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How does projectile motion explain the motion of a projectile? 


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Projectile motion is the study of the movement of objects that are thrown or shot through the air. It has been a subject of interest for centuries and has practical applications in fields such as artillery. The motion of a projectile can be described analytically using simple formulas, allowing for the calculation of trajectory and other important characteristics. The introduction of air resistance complicates the problem, but approximate analytical formulas have been developed to describe the motion under air resistance. These formulas are useful for educational purposes, as they can be easily understood by first-year undergraduates. Fractional calculus has also been used to study projectile motion, providing advantages over traditional derivatives. Understanding projectile motion is important for understanding dynamics and energy, and can be achieved by decomposing the motion into its component functions and using mathematical reasoning.

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The paper explains the motion of a projectile using simple analytical formulas that take into account air resistance.
The paper discusses the use of parametric equations to understand projectile motion, but it does not explicitly explain how projectile motion explains the motion of a projectile.
Open accessDOI
A.K. Lazopoulos, Dimitrios Karaoulanis 
08 Nov 2021
1 Citations
The paper does not provide an explanation of how projectile motion explains the motion of a projectile. The paper focuses on studying projectile motion using fractional calculus and comparing the results of different fractional derivatives.
Open accessPosted ContentDOI
11 Jan 2023
The paper does not provide an explanation of how projectile motion explains the motion of a projectile. The paper focuses on the history and principles of projectile motion, as well as the modeling and comparison of smart and dumb munitions.
The paper explains that projectile motion can be analyzed using simple analytical approximations, allowing for the determination of the trajectory and movement characteristics of a projectile.

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What is the definition of reaction motion?4 answersReaction motion refers to the movement or behavior of a system or object in response to a stimulus or external event. It involves a trade-off between planned actions and reactions to environmental events. In the context of chemistry, the concept of reaction motion is associated with the energy profile of a chemical reaction, which represents the amount of energy required or released as the reacting system transitions from the initial state to the final state. In the field of physics, reaction motion can also refer to the motion of charged particles in a magnetic field, as described by the Dirac-Lorentz relativistic equation of motion. Additionally, in the context of automotive safety, reaction motion can refer to the movement of a safety rod or anti-collision device in response to a collision, aimed at reducing the impact force on the driver's seat position.
What is projectile motion in physics?2 answersProjectile motion in physics refers to the motion of an object that is launched into the air and moves along a curved path under the influence of gravity. It is a two-dimensional motion that can be analyzed by decomposing it into its vertical and horizontal components. Understanding projectile motion is important in physics education, as students often struggle with misconceptions related to this topic. Projectile motion is commonly used in introductory physics courses to illustrate concepts such as differential and integral calculus. While most problems related to projectile motion can be solved using calculus, alternative approaches that rely on algebra and geometry have also been proposed. Additionally, the effects of air resistance on projectile motion are often neglected in elementary physics courses, but they play a significant role in real-world scenarios. Overall, studying projectile motion helps develop an understanding of dynamics and energy in physics.
What is the background about Investigating Projectile Motion?3 answersThe investigation of projectile motion has a rich background. In the fourteenth century, theologians such as Francis of Marchia, Gerald Odonis, and Nicholas Bonet, along with artist Francesc Marbres, made significant contributions to replacing Aristotle's theory of projectile motion. In modern times, the study of projectile motion has been used to illustrate the application of calculus in introductory physics courses. However, students often struggle with understanding the kinematics of projectile motion and commonly have misconceptions. To address this, a non-calculus approach has been proposed that uses the projectile's travel times to provide a new perspective on the problems associated with projectile motion. Additionally, the effects of linear air resistance force on projectile motion have been analyzed, revealing how variations in the air resistance coefficient can impact critical angles and geometrical properties of projectiles.
What is the introduction behind projectile motion?4 answersProjectile motion is a fundamental concept in physics that involves the motion of an object in two dimensions. It is commonly taught in introductory and advanced physics courses. The study of projectile motion helps in understanding the dynamics and energy of objects in motion. Students often face difficulties in understanding projectile motion, leading to misconceptions. The concept involves decomposing the motion path of a projected object into its vertical and horizontal components. The mathematical apparatus used to describe projectile motion includes parametric equations, which are typically introduced in high school math courses. The study of projectile motion also has historical significance, as it led to the replacement of Aristotle's theory and the development of new theories to explain motion in a vacuum. Additionally, projectile motion can exhibit interesting properties beyond the basic concepts, such as the influence of air resistance.
What is the theory behind projectile motion?5 answersThe theory behind projectile motion involves the study of the motion of objects that are launched into the air and move under the influence of gravity. It has been a subject of interest for many scientists throughout history. Galileo's work on projectile motion in the late 16th and early 17th centuries was particularly significant. He discovered that the trajectory of a projectile follows a parabolic path and developed theories related to motion on inclined planes and the law of fall. Other researchers, such as Marchia, Odonis, and Marbres, also made contributions to the understanding of projectile motion during the 14th century. However, not all theories of projectile motion have been successful in advancing our understanding. Fabri, for example, failed to develop a useful theory that could surpass Galileo's pioneering work. More recently, the use of fractional calculus has been explored to examine projectile motion, providing insights into the effects of air resistance and the behavior of projectiles in different mediums.
What is projectile motion?4 answersProjectile motion refers to the motion of an object that is launched into the air and moves along a curved path under the influence of gravity. It is a combination of both horizontal and vertical motion. In the absence of air resistance, the path of a projectile follows a parabolic trajectory, with the horizontal velocity remaining constant and the vertical motion being influenced only by gravity. However, when air resistance is present, the path of the projectile is no longer parabolic, and the object experiences deceleration due to the opposing force of air friction. Understanding projectile motion is important in physics education, as it helps deepen students' understanding of both circular and linear motion. Various mathematical techniques, such as parametric equations, can be used to analyze and describe the motion of projectiles.

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