## Tags: velocity

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1. 21 Jan 2022 | | Contributor(s):: Jacob Paul Duncan

Most projectile motion and free fall models are based on the assumption that gravity is the only force acting on the object. Here we develop, solve, and analyze a second order nonhomogeneous differential equation model for free fall which incorporates air resistance. Students will solve the model...

2. 16 Dec 2018 | | Contributor(s):: Brian Winkel

We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

3. 09 Sep 2017 | | Contributor(s):: Brian Winkel

Doboszczak, Stefan  and Virginia Forstall. 2013. Mathematical modeling by differential equations Case study: Traffic flow. PowerPoint Slides.  52 slides. University of Maryland.  See www.norbertwiener.umd.edu/Education/m3cdocs/Presentation2.pdf . Accessed 8 September...

4. 09 Sep 2017 | | Contributor(s):: Brian Winkel

Pennel, Steve. Differential Equations:  Applications of First Order Differential Equations. Notes. 44 p. Universiyt of Massachusetts, Lowel.This is a set of modeling activities with derivations, Matlab code, and mathematical details covering the following topics: Newton’s Second...

5. 01 Mar 2017 | | Contributor(s):: Brian Winkel

Peastrel, M., R. Lynch, and A. Armenti, Jr. 1980. Terminal velocity of a shuttlecock in vertical fall. American Journal of Physics. 48(7): 511-513.Article Abstract: We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important and...

6. 05 Oct 2016 | | Contributor(s):: Brian Winkel

7. 10 Feb 2016 | | Contributor(s):: Timothy Pennings

As captain of a barge, you need to determine how fast to transportyour barge up river against the current in order to minimize the expended energy.Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However, if...

8. 20 Jun 2015 | | Contributor(s):: M. Peastrel, R. Lynch, A. Armenti

Peastrel, M., R. Lynch Lynch, and A.Armenti, Jr. 1980. Terminal velocity of a shuttlecock in vertical fall. American Journal of Physics. 48(7): 511-513.See https://ui.adsabs.harvard.edu/abs/1980AmJPh..48..511P/abstract .Article Abstract:  We have performed a straightforward vertical...

9. 20 Jun 2015 | | Contributor(s):: Lyle N. Long, Harold Weiss

Long, Lyle N. and Harold Weiss. 1999. The Velocity Dependence of Aerodynamic Drag: A Primer for Mathematicians. The American Mathematical Monthly. 106(2):  127-135.See https://www.tandfonline.com/doi/abs/10.1080/00029890.1999.12005019 .This paper is exactly what it says it is,...