Resources

Modeling Scenario

1-050-BargingAhead-ModelingScenario

Author(s): Timothy Pennings

Davenport University, Grand Rapids MI USA

Keywords: optimization kinetics energy trophic efficiency work river terminal velocity friction current force barge worlk speed

532 total view(s), 288 download(s)

Abstract

Resource Image As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.

Citation

Researchers should cite this work as follows:

Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However, if traveling too slow, it will almost take an infinite amount of time to arrive, which is also inefficient.

How fast then should you go?

We find an answer to this question, and to the related question of minimizing cost of travel, where the cost is a linear combination of the energy and the time.

Article Files

Authors

Author(s): Timothy Pennings

Davenport University, Grand Rapids MI USA

Comments

Comments

There are no comments on this resource.