## Tags: drag

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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. 24 Aug 2019 | | Contributor(s):: Lyle Clifford Smith

After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus is on creative identification of factors. Students...

3. 19 Aug 2019 | | Contributor(s):: Chris McCarthy

If a tennis ball is thrown through the air it will eventually hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the thrower taking into account air...

4. 24 Apr 2018 | | Contributor(s):: Michael Karls

The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top.  The system solution is then used to verify...

5. 12 Sep 2017 | | Contributor(s):: Brian Winkel

Minton, Roland. 1994. A Progression of Projectiles - Examples from Sports. The College Mathematics Teacher. 28(5): 436-442.See https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-progression-of-projectiles-examples-from-sports .There is a progression...

6. 05 Sep 2017 | | Contributor(s):: Brian Winkel

Benaka, Jan and Sona Ceretkova. 2017. Free fall in a vacuum and in the air – calculating limits using a real example and demonstrating the limiting process to high school students using Excel. Spreadsheets in Education. 9(1): Article 3.Abstract: The paper gives the result of an...

7. 04 Sep 2017 | | Contributor(s):: Michael Grayling

Several models using first order differential equations are offered with some questions on formulating a differential equations model

8. 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,...