A simple solution for maximum range of projectile motion

2013 ◽  
Vol 51 (1) ◽  
pp. 52-52 ◽  
Author(s):  
Bons Bušiȇ
Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 581-587 ◽  
Author(s):  
Abraham Ortega Contreras ◽  
J. Juan Rosales García ◽  
Leonardo Martínez Jiménez ◽  
Jorge Mario Cruz-Duarte

Abstract This paper presents new solutions for twodimensional projectile motion in a free and resistive medium, obtained within the newly established conformable derivative. For free motion, we obtain analytical solutions and show that the trajectory, height, flight time, optimal angle, and maximum range depend on the order of the conformable derivative, 0 < γ ≤ 1. Likewise, we analyse and simulate the projectile motion in a resistive medium by assuming several scenarios. The obtained trajectories never exceed the ordinary ones, given by γ = 1, unlike results reported in other studies.


2004 ◽  
Vol 82 (3) ◽  
pp. 197-204 ◽  
Author(s):  
P Mohazzabi ◽  
J C Fields

It is known that the optimal projection angle corresponding to the maximum range of a projectile moving in air is less than 45° for low-power resistance laws such as the linear or quadratic law. We show that this result is valid only for a uniform atmosphere, in which the density of air is a constant. In a more realistic atmosphere, such as an exponential atmosphere, where the air density decreases with altitude, and specially for high-speed projectiles, the optimal projection angle is much greater than 45°.PACS No.: 45.50.Dd


Author(s):  
J. J. Kelsch ◽  
A. Holtz

A simple solution to the serious problem of specimen contamination in the electron microscope is presented. This is accomplished by the introduction of clean helium into the vacuum exactly at the specimen position. The local pressure gradient thus established inhibits the migration of hydrocarbon molecules to the specimen surface. The high ionization potential of He permits the use of relatively large volumes of the gas, without interfering with gun stability. The contamination rate is reduced on metal samples by a factor of 10.


1983 ◽  
Author(s):  
Martin T. Soifer ◽  
Robert S. Becker
Keyword(s):  

2021 ◽  
Vol 9 ◽  
pp. 2050313X2110158
Author(s):  
Daniel Gerber ◽  
Balthasar Eberle ◽  
Gabor Erdoes

Perioperative visual loss is a rare but severe complication after surgery in prone position. One of several mechanisms is direct ophthalmic compression. This can be avoided through optimal positioning and padding of the head, but position and integrity of the eyes need to be checked at regular intervals. We describe the use of a conventional video laryngoscope during vascular surgery in prone position as a simple solution for intermittent monitoring of external integrity of the eyes and size of the pupils. This requires no additional material and allows documentation of the findings. Our method might reduce complications and improve patient outcome.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Pablo E. Layana Castro ◽  
Joan Carles Puchalt ◽  
Antonio-José Sánchez-Salmerón

AbstractOne of the main problems when monitoring Caenorhabditis elegans nematodes (C. elegans) is tracking their poses by automatic computer vision systems. This is a challenge given the marked flexibility that their bodies present and the different poses that can be performed during their behaviour individually, which become even more complicated when worms aggregate with others while moving. This work proposes a simple solution by combining some computer vision techniques to help to determine certain worm poses and to identify each one during aggregation or in coiled shapes. This new method is based on the distance transformation function to obtain better worm skeletons. Experiments were performed with 205 plates, each with 10, 15, 30, 60 or 100 worms, which totals 100,000 worm poses approximately. A comparison of the proposed method was made to a classic skeletonisation method to find that 2196 problematic poses had improved by between 22% and 1% on average in the pose predictions of each worm.


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