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    2006-G_Ashline-J_Ellis-Monaghan-How high-fast-long-Modeling water rocket flight with calculus
    We describe an easy and fun project using water rockets to demonstrate applications of single variable calculus concepts.
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    Movement: Nature's Flying Machines
    In this lab, you will explore the physics of flight, the adaptations that make powered flight possible, and the evolution of powered flight in vertebrates and invertebrates.
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    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...
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    Movement: Nature's Flying Machines (Online)
    Adapted for online learning: In this lab, you will explore the physics of flight, the adaptations that make powered flight possible, and the evolution of powered flight in vertebrates and...
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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...
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    3-030-SecondOrderIntro-ModelingScenario
    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...
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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...
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    2017-Jun_Liu-Hammer Throwing parameters optimization model research based on flight dynamical differential equation
    With progress of times, sports techniques are also rapidly developing, in order to let Chinese hammer throwers more quickly improve themselves levels.
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    6-024-DronePackageDelivery-ModelingScenario
    Students will derive a system of first order differential equations which describe the flight path of a drone delivering a package.
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    3-051-ProjectileMotions-ModelingScenario
    We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.
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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...
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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...
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    Wing Aspect Ratio and Morphological Measurement Analysis Relating to Bird Flight and Natural History
    This activity simulates analysis and identification of bird specimens based on the relationship of the natural history of bird species with the morphographic measurements and ratios compared to...
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    Fantastic Birds and Where to Find Them
    5E lesson plan for middle/high school aligned to NGSS standards.
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    6-023-DroneHeadingHome-ModelingScenario
    We describe a comprehensive project in modeling through a two dimensional system of equations and a first order system of differential equations a drone heading home.
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    Ocean Acidification: Predator-Prey Interactions of Intertidal Snails and Sea Stars
    This lesson discusses ocean acidification, its causes, and the potential dangers that it may pose to aquatic ecosystems by analyzing the relationship between intertidal invertebrates. While...
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    2006-Matt_MacWilliams-Developing ODEs to Describe the Motion of a Paper Helicopter
    This paper attempts to create a model that describes the motion of a paper helicopter using engineering, physical and statistical knowledge.
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    3-043-BallisticModeling-SpongeDart-ModelingScenario
    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.
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    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...
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    1-013-SleuthingWithDifferentialEquations-ModelingScenario
    We present several situations in which differential equation models serve to aid in sleuthing and general investigations.
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