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ERIC Number: EJ901505
Record Type: Journal
Publication Date: 2010-Nov
Pages: 11
Abstractor: As Provided
Reference Count: 12
ISBN: N/A
ISSN: ISSN-0143-0807
On the Locus Formed by the Maximum Heights of Projectile Motion with Air Resistance
Hernandez-Saldana, H.
European Journal of Physics, v31 n6 p1319-1329 Nov 2010
We present an analysis on the locus formed by the set of maxima of the trajectories of a projectile launched in a medium with linear drag. Such a place, the locus of apexes, is written in terms of the Lambert "W" function in polar coordinates, confirming the special role played by this function in the problem. To characterize the locus, a study of its curvature is presented in two parameterizations, in terms of the launch and the polar angles. The angles of maximum curvature are compared with other important angles in the projectile problem. As an addendum, we find that the synchronous curve in this problem is a circle as in the drag-free case. The presentation is suitable for advanced undergraduate students. (Contains 6 figures and 2 footnotes.)
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A