Tags: fall

Modeling Scenarios (1-2 of 2)

  1. 4-039-S-FallingDarts

    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...

  2. 3-027-S-BobbingDropping

    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.