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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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3-067-RLCSeriesCircuit-ModelingScenario
20 May 2022 | Teaching Materials | Contributor(s):
By Virgil Ganescu
York College of Pennsylvania, York PA USA
In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with...
https://qubeshub.org/publications/3156/?v=1