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Modeling Scenario
360
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357
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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 separation of variables, and method of undetermined...
optimization
resistance
terminal velocity
muzzle velocity
drag coefficient
free fall
air drag
Modeling Scenario
11
views
19
downloads
0
comments
6-050-BowlingBallPath-ModelingScenario
This modeling scenario examines the motion of a bowling ball with the goal of understanding how various aspects of the release affect ball placement and the entry angle to the pocket, each an important factor in the frequency of strikes.
calculus
physics
dynamics
sports
rolling
slipping
bowling
bowling ball
rolling with slipping
bowling lane
Modeling Scenario
367
views
368
downloads
0
comments
1-120-CircularRollerCoaster-ModelingScenario
Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students
population dynamics
energy
Fluid Mechanics
m
friction
roller coaster
integration by8 parts
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