Teaching Materials (1-20 of 27)

1. 1-128-RocketFlight-ModelingScenario

   19 Jul 2022 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight...

   https://qubeshub.org/publications/3469/?v=1

2. 1-145-FastPitch-ModelingScenario

   12 Jun 2022 | Teaching Materials | Contributor(s):

   By Erich McAlister

   Fort Lewis College, Durango CO USA

   We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.

   https://qubeshub.org/publications/3393/?v=1

3. 1980-Peastrel-Lynch-Armenti-Terminal_velocity_of_a_shuttlecock_in_vertical_fall

   11 Mar 2023 | Teaching Materials | Contributor(s):

   By M. Peastrel

   NA

   This paper offers a set of data on a falling shuttlecock (the moving object in badminton) in air. How the authors collected the data is described fully and can be replicated easily by modern...

   https://qubeshub.org/publications/3782/?v=1

4. 1987-MS_Greenwood-Using videotapes to study underdamped motion of a pendulum

   26 Mar 2023 | Teaching Materials | Contributor(s):

   By M S Greenwood

   NA

   Using a video camera to study the effects of air resistance acting on pendulum bob, ping-pong ball, styrofoam spheres, and brass spheres.

   https://qubeshub.org/publications/3883/?v=1

5. 1994-Roland_Minton-A Progression of Projectiles-Examples from Sports

   26 Mar 2023 | Teaching Materials | Contributor(s):

   By Roland Minton

   NA

   There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,

   https://qubeshub.org/publications/3875/?v=1

6. 1994-T_Gruszka-A Balloon Experiment in the Classroom

   26 Mar 2023 | Teaching Materials | Contributor(s):

   By T Gruszka

   NA

   The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick,

   https://qubeshub.org/publications/3874/?v=1

7. 1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom

   11 Mar 2023 | Teaching Materials | Contributor(s):

   By T. Gruszka

   NA

   The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a...

   https://qubeshub.org/publications/3784/?v=1

8. 1999-F_Brauer-What_Goes_Up_Must_Come_Down

   12 Mar 2023 | Teaching Materials | Contributor(s):

   By F Bauer

   NA

   It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces that are nonlinear...

   https://qubeshub.org/publications/3788/?v=1

9. 1999-Meade-Struthers-Differential Equations in the New Millennium-The Parachute Problem

   02 Apr 2023 | Teaching Materials | Contributor(s):

   By Allan Struthers¹, Douglas Meade¹

   Michigan Technological University, Houghton MI USA

   The parachute problem will be used to illustrate several essential features of the improved courses. In particular, it will be seen that the traditional version of the parachute problem is not very...

   https://qubeshub.org/publications/3937/?v=1

10. 2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study

    05 Apr 2023 | Teaching Materials | Contributor(s):

    By ALun Loyd

    NA

    We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the...

    https://qubeshub.org/publications/3987/?v=1

11. 2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne

    10 Mar 2023 | Teaching Materials | Contributor(s):

    By C W Groetsch

    NA

    This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of...

    https://qubeshub.org/publications/3774/?v=1

12. 2014-Groetsch-Yost-Vertical Projection in a Resisting Medium - Revelations on Observations of Mersenne

    08 Apr 2023 | Teaching Materials | Contributor(s):

    By C W Groetsch

    NA

    This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of...

    https://qubeshub.org/publications/4110/?v=1

13. 3-002-ModelsMotivatingSecondOrder-ModelingScenario

    21 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because...

    https://qubeshub.org/publications/3186/?v=1

14. 3-009-BallDropInWater-ModelingScenario

    21 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    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...

    https://qubeshub.org/publications/3183/?v=1

15. 3-013-WhiffleBallFall-ModelingScenario

    21 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.

    https://qubeshub.org/publications/3180/?v=1

16. 3-015-StyrofoamBallFall-ModelingScenario

    21 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We are given data on a falling Styrofoam ball and we seek to model this motion.

    https://qubeshub.org/publications/3179/?v=1

17. 3-016-FallingCoffeeFilters-ModelingScenario

    21 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We are given data on the time and position of a stack of coffee filters as it falls to the ground. We attempt to model the falling mass and we confront the different resistance terms and models.

    https://qubeshub.org/publications/3178/?v=1

18. 3-017-StackedCoffeeFiltersFalling-ModelingScenario

    20 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    Data on free falling 2, 4, 6, and 8 stacked coffee filters is offered. Students form a model using a resistance term proportional to velocity, velocity squared, or velocity to some general power....

    https://qubeshub.org/publications/3177/?v=1

19. 3-019-ShuttleCockFalling-ModelingScenario

    20 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and...

    https://qubeshub.org/publications/3176/?v=1

20. 3-063-FallingBuildingIce-ModelingScenario

    07 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We model the fall of a piece of ice which is falling from a high building in New York City.

    https://qubeshub.org/publications/3014/?v=1