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Modeling Scenario
619
views
243
downloads
0
comments
1-008-HangTime-ModelingScenario
We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the meaning of the notion ``hang-tune.''
gravity
hang tim
Newton's Second Law of Motion
jump shot
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
Potential Scenario
140
views
49
downloads
0
comments
2003-Bohren-Dimensional analysis-falling bodies--fine art of not solving differential equations
Dimensional analysis is a simple, physically transparent and intuitive method for obtaining approximate solutions to physics problems, especially in mechanics.
falling body
dimensional analysis
drag
Modeling Scenario
290
views
209
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
666
views
713
downloads
0
comments
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.
projectile motion
air resistance
ballistics
dimensional analysis
Newtonian mechanics
sponge dart
Nerf gun
Nerf dart
Buckingham's Theorem
Modeling Scenario
244
views
183
downloads
0
comments
3-042-CatapultLaunch-ModelingScenario
We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to give the best lift.
projectile motion
catapult
uphill
launch angle
Article or Presentation
165
views
56
downloads
0
comments
1994-T_Gruszka-A_Balloon_Experiment_in_the_Classroom
The experiment consists of dropping a balloon from two different heights and recording the time it takes to hit the floor. The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick.
differential equations
resistance
gravity
free fall
acceleration
balloon
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