Tags: projectile motion

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  1. 3-012-T-CoronaVirusAerosols

    23 Mar 2020 | | Contributor(s):: Brian Winkel

    Students will use reported data on the motion of the corona virus aerosols to model just how far they can go from the mouth of a coughing or sneezing infected person and compare that to the recommended social distancing distance of 6 feet which is the suggested distance for mitigating the spread...

  2. 3-043-S-BallisticModeling-SpongeDart

    20 Nov 2018 | | Contributor(s):: Jean Marie Linhart, Peter Howard

    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

  3. Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth and...

  4. 1988-Koblitz-Problems That Teach The Obvious But Difficult

    07 Sep 2017 | | Contributor(s):: Brian Winkel

    Koblitz , N. 1988. Problems that Teach the Obvious but Difficult. The American Mathematical Monthly. 95(3):  254-257 Four problems are presented and two of them involve differential equations. These involve projectile motion in one and two dimensions. The conclusion reads and...

  5. 2002-Chai-Optima lInitial Angle To Fire Projectile

    02 Sep 2017 | | Contributor(s):: Brian Winkel

    Review and AnnotationChai, William. 2002. Optimal initial angle to fire a projectile. Pi Mu Epsilon Journal. 12(7): 363-364.This article addresses the following problem:“Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is...

  6. Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne

    02 Mar 2017 | | Contributor(s):: Brian Winkel

    Groetsch, C. W. and S. A. Yost. 2014. Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne. The American Mathematical Monthly. 21(6): 499-505.Article Abstract: This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne...

  7. 2006-AshlineEllis-Monaghan Modeling Water Rocket Flight

    25 Jun 2015 | | Contributor(s):: Joanna Ellis-Monaghan, George Ashline

    Ashline, George and Joanna Ellis-Monaghan. 2006. HOW HIGH? HOW FAST? HOW LONG? MODELING WATER ROCKET FLIGHT WITH CALCULUS. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 16(2): 121-137 Article Abstrct: We describe  an easy  and  fun ...

  8. 1999-Brauer-What Goes Up Must Come Down

    20 Jun 2015 | | Contributor(s):: F. Brauer

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

  9. 2014-GroetschYost-Vertical Projection in a Resisting Medium

    20 Jun 2015 | | Contributor(s):: C. W. Groetsch, S. A. Yost

    Groetsch, C. W. and S. A. Yost. 2014. Vertical Projection in a Resisting Medium:  Revelations on Observations of Mersenne.  The American Mathematical Monthly. 21(6): 499-505. Article Abstract:  This article, inspired by a 17th-century woodcut, validates empirical observations of...