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    3-011-EulerBallThrowing-ModelingScenario
    If a tennis ball is thrown through the air it will 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...

    Keywords: codingdragonVectorsEuler's methodball

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    2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
    This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.

    Keywords: projectileair resistancefree falldragharmonic oscillation

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    4-039-FallingDarts-ModelingScenario
    we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and...

    Keywords: optimizationresistanceterminal velocitymuzzle velocitydrag coefficientfree fallair drag

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    Science Behind the Lesson: It's a Bird! It's a Plane! It's Biomechanics!
    Active flight is a specialized mode of movement found in insects, birds, and mammals. The anatomy, morphology, physiology, and ecology of flying taxa has changed over evolutionary time. Researchers...

    Keywords: EvolutionecologybatphysiologyAnatomybiomechanicsbirdFlightinsect

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    It's a bird! It's a plane! It's biomechanics!
    Biomechanics is a discipline that draws from physics and engineering principles to understand the movement and structure of living organisms. It is highly interdisciplinary in nature and can be...

    Keywords: EvolutionecologybatphysiologyAnatomybirdFlightforcesinsect

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    The Flight Physics Concept Inventory: Reliably Evaluating Aerodynamic Lift, Drag and Associated (Naïve) Concepts of Flight in Class and In-Game
    Students often struggle to transfer conceptual understanding from isolated instruction to a coherent mental model. This is especially true for the context of flight physics, fluid dynamics, or the...

    Keywords: active learninggamificationmisconceptionsaerodynamicsfluid dynamicsResearch-based assessment instrumentConceptual SurveyPRE-/POST-test

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    1999-Long-Weiss-The Velocity Dependence of Aerodynamic Drag A Primer for Mathematicians
    This paper is exactly what it says it is, namely, a Primer for Mathematicians. There are ample models, data, attention to such issues as Reynolds’ numbers, and attention to aerodynamics issues.

    Keywords: drag forceaerodynamics

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    Lung Capacity and Rhythms in Breathing
    This module introduces rhythmic inhaling and exhaling in the context of understanding trigonometry and sine waves. It is intended for an introductory biology audience.

    Keywords: Trigonometrysine wavesAnimal Physiology

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    2017-Jean-Roux-Mathematical Models in Air Quality Problems
    Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.

    Keywords: air pollution effects on forest ecosystemsfinite volume methodboundary layerchemical kineticsfinite differenceemissionsdepositionsadvection

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    Lichens in Your Local Landscape
    This project uses Lichens to connect students with their local environmental air quality. Through a short lab session, students assess lichens growing on trees on their campus. They then use class...

    Keywords: NEONNational Ecological Observatory Network

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    Student-led evaluation of air quality issues using the US EPA AirData website
    Presentation made by Katherine Berry et al. as part of the "Bringing Research Data to the Ecology Classroom: Opportunities, Barriers, and Next Steps” Session at the Ecological Society of...

    Keywords: Ecological Society of America

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    Graphing and mapping patterns of air quality in Los Angeles, California through an environmental justice lens.
    Air quality is an environmental issue that impacts everyone in Los Angeles. This activity presents current popular press articles about air pollution and environmental justice and maps and graphs...
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    5-030-AirshedSulphur-ModelingScenario
    Temperature inversions and low wind speeds trap air pollutants in a mountain valley for a period of time. Gaseous sulfur compounds are a significant air pollution problem. We offer a model for...

    Keywords: sulphurpollutionairshedhydrogen sulfidesulfur dioxide

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    2009-Peter-Howard-Modeling With ODE
    This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.

    Keywords: ratescompetitionpopulationepidemicpendulumcarbon datingreaction chemistrymechanicsplanetary motiondrag racingHamilton’s methodvariational method

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    1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
    There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,

    Keywords: sportsresistanceprojectilebaseballdraglinear resistancequadratic resistancetennis

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    1-083-FallingMeteorites-ModelingScenario
    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...

    Keywords: falling objectdragvariable massfactor rankingmeteormeteorite

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    Lichens in Diverse Landscapes: EREN-NEON Flexible Learning Project
    This project makes use of publicly-available datasets on lichen presence and abundance and wet deposition, paired with geospatial data on air quality, tree canopy cover, and locally collected field...

    Keywords: NEONNational Ecological Observatory Network

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    Lichens in Diverse Landscapes: EREN-NEON Flexible Learning Project
    This project makes use of publicly-available datasets on lichen presence and abundance and wet deposition, paired with geospatial data on air quality, tree canopy cover, and locally collected field...

    Keywords: NEONNational Ecological Observatory Network

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    Lichens in Diverse Landscapes: EREN-NEON Flexible Learning Project
    This project makes use of publicly-available datasets on lichen presence and abundance and wet deposition, paired with geospatial data on air quality, tree canopy cover, and locally collected field...

    Keywords: NEONNational Ecological Observatory Network

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    Lichens in Diverse Landscapes: EREN-NEON Flexible Learning Project
    This project makes use of publicly-available datasets on lichen presence and abundance and wet deposition, paired with geospatial data on air quality, tree canopy cover, and locally collected field...

    Keywords: NEONNational Ecological Observatory Network

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