Text Search:
Applied Filters
    3-020-ChordPathTime-ModelingScenario
    Using Newton's Second Law of motion we can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. Initially, the result is...
    214

    views

    114

    downloads

    0

    comments

    0

    adaptations

    1-105-AnimalFall-ModelingScenario
    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.
    335

    views

    149

    downloads

    0

    comments

    0

    adaptations

    2017-Andras_Domokos-Differential Equations - Theory and Applications – Notes
    This is a terrific set of notes with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and...
    167

    views

    66

    downloads

    0

    comments

    0

    adaptations

    2017-Bruce_Emerson-Wonderful World of Differential Equations
    This is a terrific set of noted with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and...
    146

    views

    84

    downloads

    0

    comments

    0

    adaptations

    3-065-UpDown-ModelingScenario
    We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and...
    1154

    views

    623

    downloads

    0

    comments

    0

    adaptations

    3-080-PendulumModeling-ModelingScenario
    We lead students through building model for several pendulum configurations in motion and ask students to compare results.
    258

    views

    376

    downloads

    0

    comments

    0

    adaptations

    3-095-ShotInWater-ModelingScenario
    This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.
    205

    views

    211

    downloads

    0

    comments

    0

    adaptations

    3-006-Buoyancy-ModelingScenario
    We offer data from a physical experiment in which the depth of a container in water is measured and ask students to build a model of buoyancy based on Newton's Second Law of Motion and a Free Body...
    343

    views

    414

    downloads

    0

    comments

    0

    adaptations

    1-128-RocketFlight-ModelingScenario
    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...
    792

    views

    370

    downloads

    1

    comments

    0

    adaptations

    3-027-BobbingDropping-ModelingScenario
    We present two exercises in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law...
    245

    views

    141

    downloads

    0

    comments

    0

    adaptations

    3-002-ModelsMotivatingSecondOrder-ModelingScenario
    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...
    609

    views

    815

    downloads

    0

    comments

    0

    adaptations

    2003-Fay-Graham-Coupled spring equations
    Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
    122

    views

    62

    downloads

    0

    comments

    0

    adaptations

    3-001-SpringMassDataAnalysis-ModelingScenario
    We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass...
    389

    views

    418

    downloads

    0

    comments

    0

    adaptations

    6-012-RiverCrossing-ModelingScenario
    Students develop a model of a river crossing in a boat with thrust using Newton's Second Law of Motion from a Free Body Diagram they construct. The model is thence a system of one second order...
    271

    views

    159

    downloads

    0

    comments

    0

    adaptations

    1-013-SleuthingWithDifferentialEquations-ModelingScenario
    We present several situations in which differential equation models serve to aid in sleuthing and general investigations.
    310

    views

    196

    downloads

    0

    comments

    0

    adaptations

    2017-David_Morin-Oscillations
    So needless to say, an understanding of oscillations is required for an understanding of waves.
    153

    views

    75

    downloads

    0

    comments

    0

    adaptations

    3-010-EnergyInSpringMassSystem-ModlingScenario
    As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring...
    319

    views

    191

    downloads

    0

    comments

    0

    adaptations

    3-015-StyrofoamBallFall-ModelingScenario
    We are given data on a falling Styrofoam ball and we seek to model this motion.
    295

    views

    155

    downloads

    0

    comments

    0

    adaptations

    3-009-BallDropInWater-ModelingScenario
    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...
    289

    views

    169

    downloads

    0

    comments

    0

    adaptations

    A Momentum-First Approach to Newton’s Second Law
    Students frequently struggle with seeing the connection between forces and motion in introductory physics. This lesson is part of a combined momentum and kinematics unit that first teaches...
    754

    views

    116

    downloads

    0

    comments

    0

    adaptations