Analysis of projectile motion with quadratic air resistance from a nonzero height using the Lambert W function
Using the Lambert W function, the quadratic resisted projectile motion with an approximation of low-angle trajectory has been studied where the launching point is assumed to be higher than the landing point. Analytical solutions for the range and the time of flight are presented in terms of the seco...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2017-03-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1658365516000170 |
| _version_ | 1811305835643535360 |
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| author | Chokri Hadj Belgacem |
| author_facet | Chokri Hadj Belgacem |
| author_sort | Chokri Hadj Belgacem |
| collection | DOAJ |
| description | Using the Lambert W function, the quadratic resisted projectile motion with an approximation of low-angle trajectory has been studied where the launching point is assumed to be higher than the landing point. Analytical solutions for the range and the time of flight are presented in terms of the secondary branch of the Lambert function W−1. |
| first_indexed | 2024-04-13T08:33:35Z |
| format | Article |
| id | doaj.art-9aa0301043ca4b94986e0824e2098b41 |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-04-13T08:33:35Z |
| publishDate | 2017-03-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-9aa0301043ca4b94986e0824e2098b412022-12-22T02:54:10ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552017-03-0111232833110.1016/j.jtusci.2016.02.009Analysis of projectile motion with quadratic air resistance from a nonzero height using the Lambert W functionChokri Hadj Belgacem0Physics Department, Science Faculty at Yanbu, Taibah University, Saudi ArabiaUsing the Lambert W function, the quadratic resisted projectile motion with an approximation of low-angle trajectory has been studied where the launching point is assumed to be higher than the landing point. Analytical solutions for the range and the time of flight are presented in terms of the secondary branch of the Lambert function W−1.http://www.sciencedirect.com/science/article/pii/S1658365516000170Projectile motionQuadratic air resistanceLambert W functionLow angle trajectoryNonzero height |
| spellingShingle | Chokri Hadj Belgacem Analysis of projectile motion with quadratic air resistance from a nonzero height using the Lambert W function Journal of Taibah University for Science Projectile motion Quadratic air resistance Lambert W function Low angle trajectory Nonzero height |
| title | Analysis of projectile motion with quadratic air resistance from a nonzero height using the Lambert W function |
| title_full | Analysis of projectile motion with quadratic air resistance from a nonzero height using the Lambert W function |
| title_fullStr | Analysis of projectile motion with quadratic air resistance from a nonzero height using the Lambert W function |
| title_full_unstemmed | Analysis of projectile motion with quadratic air resistance from a nonzero height using the Lambert W function |
| title_short | Analysis of projectile motion with quadratic air resistance from a nonzero height using the Lambert W function |
| title_sort | analysis of projectile motion with quadratic air resistance from a nonzero height using the lambert w function |
| topic | Projectile motion Quadratic air resistance Lambert W function Low angle trajectory Nonzero height |
| url | http://www.sciencedirect.com/science/article/pii/S1658365516000170 |
| work_keys_str_mv | AT chokrihadjbelgacem analysisofprojectilemotionwithquadraticairresistancefromanonzeroheightusingthelambertwfunction |