## Tags: projectile motion

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1. 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. 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. 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. 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. 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. 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. 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. 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. 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...