Resources

Potential Scenario

1999-F_Brauer-What Goes Up Must Come Down

Author(s): F Brauer

NA

Keywords: projectile friction falling time rising time maximum height

120 total view(s), 65 download(s)

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.

Citation

Researchers should cite this work as follows:

Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills

Description

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.”

Article Files

Authors

Author(s): F Brauer

NA

Comments

Comments

There are no comments on this resource.