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Downloads
Views
Date
Relevance
Modeling Scenario
280
views
149
downloads
0
comments
3-063-FallingBuildingIce-ModelingScenario
We model the fall of a piece of ice which is falling from a high building in New York City.
resistance
falling
gravity
ice
terminal velocity
skyscrapers
Modeling Scenario
306
views
268
downloads
0
comments
3-013-WhiffleBallFall-ModelingScenario
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.
Akaike Information Criterion
resistance
gravity
Free Body Diagram
force
falling object
Whiffle ball
Modeling Scenario
994
views
1536
downloads
0
comments
3-016-FallingCoffeeFilters-ModelingScenario
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.
resistance
Free Body Diagram
coffee filter
force
graviity
falling object
Article or Presentation
164
views
53
downloads
0
comments
1980-Peastrel-Lynch-Armenti-Terminal_velocity_of_a_shuttlecock_in_vertical_fall
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 equipment.
parameter estimation
data collection
resistance
falling
terminal velocity
Newton's Second Law of Motion
shuttlecock
Modeling Scenario
391
views
558
downloads
0
comments
3-019-ShuttleCockFalling-ModelingScenario
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 models.
resistance
gravity
Free Body Diagram
shuttlecock
fallingc object
Modeling Scenario
246
views
141
downloads
0
comments
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 of Motion and Archimedes' Principle.
drug resistance
directed
buoyancy
free fall
static equilibrium
displacement
Modeling Scenario
289
views
169
downloads
0
comments
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 velocity.
resistance
gravity
falling body
terminal velocity
buoyancy
Modeling Scenario
344
views
278
downloads
0
comments
3-017-StackedCoffeeFiltersFalling-ModelingScenario
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. Parameters need to be estimated and models compared.
data
resistance
falling body
coffee filter
stacked
Modeling Scenario
296
views
158
downloads
0
comments
3-015-StyrofoamBallFall-ModelingScenario
We are given data on a falling Styrofoam ball and we seek to model this motion.
football
resistance
gravity
falling body
sum of square errors
Newton's Second Law of Motion
sum of forces
styrofoam
Modeling Scenario
290
views
208
downloads
0
comments
3-044-DeepWell-ModelingScenario
We drop a pebble in a deep well. Given the time elapsed from release of the pebble until we hear the splash determine the depth of the well.
gravity
projectile motion
falling body
speed of sound
Modeling Scenario
343
views
414
downloads
0
comments
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 Diagram. We ask students to estimate the parameters.
data collection
experiment
buoyancy
Newton's Second Law of Motion
Modeling Scenario
358
views
356
downloads
0
comments
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 separation of variables, and method of undetermined...
optimization
resistance
terminal velocity
muzzle velocity
drag coefficient
free fall
air drag
Modeling Scenario
335
views
149
downloads
0
comments
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.
animal
Netwon's Second Law of Motion
falling body
terminal velocity
air resistance
Newton
air friction
fall
Modeling Scenario
478
views
366
downloads
1
comments
3-104-BungeeJumping-ModelingScenario
In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested in starting a bungee jumping business.
design
falling
mass
spring\
bungee
elesticity
recommendation
consult
Modeling Scenario
249
views
117
downloads
0
comments
3-041-UpDown-ModelingScenario
Shoot a projectile straight up in the air. Determine maximum height the projectile will go. Consider time T(a) (0 < a < 1) it takes between when the projectile passes distance a.H going up and then coming down. Develop T(a) as a function of a.
gravity
projectile motion
falling body
maximum heightf
timing
Modeling Scenario
319
views
191
downloads
0
comments
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 system.
energy
mass-spring system
kinetic energy
potential energy
total energy
Modeling Scenario
293
views
181
downloads
0
comments
3-075-RLCCircuits-ModelingScenario
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.
resistance
circuit
voltage
inductance
capacitance
current
Kirchhoff's Law
Modeling Scenario
214
views
116
downloads
0
comments
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 nonintuitive and challenging to understand.
Unit Circle
path
falling
gravity
chord
Netwon's Second Law of Motion
Modeling Scenario
312
views
310
downloads
0
comments
3-029-FerrisWheelCatch-ModelingScenario
We offer the opportunity to model the throw of an object to a person on a moving Ferris wheel.
parametric equations
projectile motion
initial velocity
ferris wheel
catch
collision
Modeling Scenario
280
views
167
downloads
0
comments
3-045-RampBounce-ModelingScenario
Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile motion model of the ball bouncing off the ramp.
projectile motion
inclined ramp
coefficient of restitution
optimal angle
bounce
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