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M. Pakdemirli (2009)
The drag work minimization path for a flying object with altitude-dependent drag parametersProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 223
A practical and technological application of calculus problem is posed to motivate freshman students or juniory high school students. A variable coefficient of friction is used in modelling air friction. The case in which the coefficient of friction is a decreasing function of altitude is considered. The optimum parabolic path for a flying object for which the work done by variable coefficient air friction force is minimum is determined. If a flying object follows the determined path, energy requirement would be less compared with other parabolic or linear paths.
Teaching Mathematics and its Applications: An International Journal of the IMA – Oxford University Press
Published: Sep 11, 2009
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