Tags: velocity

All Categories (1-9 of 9)

  1. 4-039-S-FallingDarts

    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. 3-009-S-BallDropInWater

    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. 2013-Doboszczak, Stefan  and Virginia Forstall - Mathematical modeling by differential equations Case study: Traffic flow.

    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. 2017-Pennel, Steve - Differential Equations First Order Applications - Notes

    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. 1980-Peastrel, M., R. Lynch, and A. Armenti, Jr. - Terminal velocity of a shuttlecock in vertical fall

    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. 3-065-S-UpDown

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

  7. 1-050-S-BargingAhead

    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. 1980-Peastrel, M., R. Lynch Lynch, and A.Armenti, Jr. - Terminal velocity of a shuttlecock in vertical fall.

    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. 1999-Long, Lyle N. and Harold Weiss - The Velocity Dependence of Aerodynamic Drag: A Primer for Mathematicians

    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,...