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2017-Groetsch-HammerANDFeather
09 Sep 2017 | Contributor(s):: Brian Winkel
Groetsch, C. W. 2017. Hammer and Feather: Some Calculus of Mass and Fall Time. Mathematics Magazine. 90: 3-7.The paper opens this way,“Does a heavy object fall faster than a lighter one? In 1971 NASA astronaut Dave Scott, Commander of the Apollo 15 lunar mission, used a hammer and a...
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1-115-S-ModelingWithFirstOrderODEs
04 Sep 2017 | | Contributor(s):: Michael Grayling
Several models using first order differential equations are offered with some questions on formulating a differential equations model
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3-044-S-DeepWell
30 Aug 2015 | | Contributor(s):: Brian Winkel
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.
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3-019-S-ShuttlecockFall
30 May 2015 | | Contributor(s):: Brian Winkel
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. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and...
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3-013-S-WhiffleBallFall
30 May 2015 | | Contributor(s):: Brian Winkel
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. Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and apply it to our models.