21 Jan 2022 | | Contributor(s):: Jacob Paul Duncan
Most projectile motion and free fall models are based on the assumption that gravity is the only force acting on the object. Here we develop, solve, and analyze a second order nonhomogeneous differential equation model for free fall which incorporates air resistance. Students will solve the model...
10 Jul 2020 | | Contributor(s):: Brian Winkel
We present two exercises from a differential equations text 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.
2004-Phoebus, Ronald and Cole Reilly - Differential Equations and the Parachute Problem.
09 Dec 2018 | | Contributor(s):: Brian Winkel
Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004. See https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf . Abstract: The parachute problem is a classical first semester differential...
2015-Pendrill, Ann-Marie and David Eager - Free fall and harmonic oscillations: analyzing trampoline jumps.
09 Sep 2017 | | Contributor(s):: Brian Winkel
Pendrill. Ann-Marie and David Eager. 2015. Free fall and harmonic oscillations: analyzing trampoline jumps. Physics Education. 50(1): 1-9.http://iopscience.iop.org/article/10.1088/0031-9120/50/1/64/meta . Accessed 5 September 2017. (This is an author-created, un-copyedited version of...
1980-Peastrel, M., R. Lynch, and A. Armenti, Jr. - Terminal velocity of a shuttlecock in vertical fall
01 Mar 2017 | | Contributor(s):: Brian Winkel
Peastrel, M., R. Lynch, and A. Armenti, Jr. 1980. Terminal velocity of a shuttlecock in vertical fall. American Journal of Physics. 48(7): 511-513.Article Abstract: We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important and...