Ascent - Descent (UMAP)

This unit presents a solution of the Ascent-Descent problem using simple differential equations that take air resistance into account. The model is compared to the simplified falling body model used in elementary calculus. Students are acquainted with the ideas of model construction, model analysis, and model comparison, and with problems whose solutions are obtained by indirect means.

Table of Contents:

1. INTRODUCTION
1.1 The Simplest Model
1.2 Our Objective

2. THE NEW MODEL
2.1 The Drag Force
2.2 The Equation of Motion
2.3 Ascent Time Versus Descent Time
2.4 Initial Velocity Versus Final Velocity

3. CONCLUDING REMARKS
3.1 A Comparison of the Two Models
3.2 The Next Step

4. ANSWERS TO EXERCISES

SPECIAL ASSISTANCE SUPPLEMENT