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A classic problem of the motion of a projectile thrown at an angle to the horizon in a medium with a quadratic resistance law is studied. An approximate analytical solution of the equations of projectile motion is presented, which has a…

Classical Physics · Physics 2022-05-04 Peter Chudinov

A classic problem of the motion of a projectile thrown at an angle to the horizon is studied. Air resistance force is taken into account with the use of the quadratic resistance law. The projectile motion is described analytically with…

Classical Physics · Physics 2021-05-25 Peter Chudinov

We consider the problem of the motion of a projectile thrown vertically upward from a surface. In addition to gravity, the drag force of the medium is taken into account, which is considered a quadratic function of the relative velocity of…

Classical Physics · Physics 2024-02-06 Peter Chudinov

A classic problem of the motion of a projectile thrown at an angle to the horizon is studied. Air resistance force is taken into account with the use of the quadratic resistance law. The action of the wind is also taken into account, which…

Classical Physics · Physics 2022-06-30 Peter Chudinov

A classic problem of the motion of a projectile thrown at an angle to the horizon is studied. Air resistance force is taken into account. The quadratic law for the resistance force is used. An analytic approach applies for the…

Classical Physics · Physics 2020-07-30 Peter Chudinov , Vladimir Eltyshev , Yuri Barykin

An interesting phenomenon that occurs in projectile motion, the "coming and going", is analyzed considering linear air resistance force. By performing both approximate and numerical analysis, it is showed how a determined critical angle and…

Classical Physics · Physics 2024-06-19 Williams J. M. Ribeiro , J. Ricardo de Sousa

The aerodynamics of a projectile launched from barrels of various devices is quite complicated due to its interactions with the unsteady flow field around it. A computational study using moving grid method is performed here to analyze the…

Fluid Dynamics · Physics 2012-11-09 C. K. Muthukumaran , G. Rajesh , H. D. Kim

In this article we revisit the projectile motion assuming a retarding force proportional to the velocity, $\vec{F_r} = -mk\vec{V}$. We obtain an analytical expression for the set of maxima of the trajectories, in Cartesian coordinates,…

Physics Education · Physics 2023-10-04 C. A. Morales , J. H. Muñoz , C. E. Vera

A classic problem of the motion of a projectile thrown at an angle to the horizon is studied. Air resistance force and Magnus force are taken into account with the use of the quadratic laws. We consider the asymptotic motion of the…

Classical Physics · Physics 2024-10-03 Peter Chudinov

A classic problem of the motion of a point mass (projectile) thrown at an angle to the horizon is reviewed. The air drag force is taken into account with the drag factor assumed to be constant. Analytic approach is used for investigation.…

Classical Physics · Physics 2007-05-23 Peter Chudinov

A body moves in a medium composed of noninteracting point particles; interaction of particles with the body is absolutely elastic. It is required to find the body's shape minimizing or maximizing resistance of the medium to its motion. This…

Optimization and Control · Mathematics 2007-05-23 Alexander Plakhov

A classic problem of the motion of a point mass (projectile) thrown at an angle to the horizon is reviewed. The air drag force is taken into account with the drag factor assumed to be constant. An analytic approach is mainly used for the…

Classical Physics · Physics 2009-02-04 Peter S Chudinov

The penetration of a fast projectile into a resistant medium is a complex process that is suitable for simple modeling, in which basic physical principles can be profitably employed. This study connects two different domains: the fast…

Soft Condensed Matter · Physics 2017-08-08 Jose Gaite

We consider the case, in QCD, of a single jet propagating within a strongly interacting fluid, of finite extent. Interactions lead to the appearance of a source of energy-momentum within the fluid. The remnant jet that escapes the container…

Nuclear Theory · Physics 2022-09-07 Yasuki Tachibana , Chun Shen , Abhijit Majumder

The problem of determining the angle at which a point mass launched from ground level with a given speed is a standard exercise in mechanics. Similar, yet conceptually and calculationally more difficult problems have been suggested to…

Classical Physics · Physics 2016-11-23 Nikola Poljak

We investigate, by means of computer simulations, shapes of nonconvex bodies that maximize resistance to their motion through a rarefied medium, considering that bodies are moving forward and at the same time slowly rotating. A…

Optimization and Control · Mathematics 2009-09-29 Paulo D. F. Gouveia , Alexander Plakhov , Delfim F. M. Torres

Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Several simple models of table motion are studied and compared. Dependence of displacement of the table on time,…

Chaotic Dynamics · Physics 2010-06-08 Andrzej Okninski , Boguslaw Radziszewski

A classic problem of the motion of a point mass (projectile) thrown at an angle to the horizon is reviewed. The air drag force is taken into account with the drag factor assumed to be constant. Analytic approach is used for investigation.…

Classical Physics · Physics 2007-05-23 Peter Chudinov

A two-dimensional body moves through a rarefied medium; the collisions of the medium particles with the body are absolutely elastic. The body performs both translational and slow rotational motion. It is required to select the body, from a…

Optimization and Control · Mathematics 2007-05-23 Alexander Plakhov , Paulo D. F. Gouveia

We study the long time motion of fast particles moving through time-dependent random force fields with correlations that decay rapidly in space, but not necessarily in time. The time dependence of the averaged kinetic energy and…

Mathematical Physics · Physics 2015-05-13 B. Aguer , S. De Bievre , P. Lafitte , P. Parris
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