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Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani

A projectile is the movement of any object over the air that worked on just by the gravity and air resistance. The motions of a projectile unfaltering by the items starting speed push edge and gravity. When any object is going through the fluid such as water or air, it will expe­rience a backward fo...

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Main Author: Norhani, Umi Yasmin
Format: Student Project
Language:English
Published: 2018
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110572/1/110572.pdf
https://ir.uitm.edu.my/id/eprint/110572/
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id my.uitm.ir.110572
record_format eprints
spelling my.uitm.ir.1105722025-02-25T09:30:05Z https://ir.uitm.edu.my/id/eprint/110572/ Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani Norhani, Umi Yasmin Study and teaching Equations Analysis A projectile is the movement of any object over the air that worked on just by the gravity and air resistance. The motions of a projectile unfaltering by the items starting speed push edge and gravity. When any object is going through the fluid such as water or air, it will expe­rience a backward force which is called as a 'drag force' .This project focuses on the motion of a projectiles with the air drag force is taken into account assumed to be constant proposed by Chudinov (2009).This project also includes constructing of the envelope of a family of trajectories and projectories. The aim of this research is to construct the envelope equation and by using the envelope equation, we can form a formula that can be used for the determination the maximum range of flight. A numerical integration is used to compare these approximate value with analytical values. Also, MATLAB Software are used in solving the numerical integration of the differential system and maple software to generate a graph for the solution. 2018 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110572/1/110572.pdf Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani. (2018) [Student Project] <http://terminalib.uitm.edu.my/110572.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Norhani, Umi Yasmin
Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani
description A projectile is the movement of any object over the air that worked on just by the gravity and air resistance. The motions of a projectile unfaltering by the items starting speed push edge and gravity. When any object is going through the fluid such as water or air, it will expe­rience a backward force which is called as a 'drag force' .This project focuses on the motion of a projectiles with the air drag force is taken into account assumed to be constant proposed by Chudinov (2009).This project also includes constructing of the envelope of a family of trajectories and projectories. The aim of this research is to construct the envelope equation and by using the envelope equation, we can form a formula that can be used for the determination the maximum range of flight. A numerical integration is used to compare these approximate value with analytical values. Also, MATLAB Software are used in solving the numerical integration of the differential system and maple software to generate a graph for the solution.
format Student Project
author Norhani, Umi Yasmin
author_facet Norhani, Umi Yasmin
author_sort Norhani, Umi Yasmin
title Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani
title_short Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani
title_full Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani
title_fullStr Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani
title_full_unstemmed Technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / Umi Yasmin Norhani
title_sort technical report: numerical-analytical algorithm for constructing the envelope of the point mass trajectories in midair / umi yasmin norhani
publishDate 2018
url https://ir.uitm.edu.my/id/eprint/110572/1/110572.pdf
https://ir.uitm.edu.my/id/eprint/110572/
_version_ 1825165203265814528
score 13.239859

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