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1999-F_Brauer-What Goes Up Must Come Down

Author(s): F Brauer

NA

Keywords: projectile friction falling time rising time maximum height

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Abstract

Resource Image This paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces.

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Brauer, F. 1999.  What Goes Up Must Come Down.  American Mathematical Monthly. 108(5):  437-440.

See https://www.tandfonline.com/doi/abs/10.1080/00029890.2001.11919770 . Accessed on 23 March 2023.

All articles in this journal are FREEly available to members of the Mathematical Association of America through the member portal at www.maa.org .

This paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces that are nonlinear functions of velocity. Since linear and quadratic retarding forces are at best approximations, we would like to answer the question for a general force function. The purpose of this Note is to establish that the falling time is greater than the rising time in general.”

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Author(s): F Brauer

NA

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