Length of a Curve
applied
Any curve, research the rule and show you understand it.
Introduction
Extending the bridge problem, how long is the curved cable on the bridge? Can you approximate it? Extension: Could you build this in GeoGebra to be dynamic, so that a user can choose a height and a length of the bridge?
Guiding Questions
- What mathematical models apply to this situation?
- What data do you need to collect and how will you analyze it?
- What assumptions are you making in your mathematical model?
- How can you validate your mathematical conclusions?
- What are the limitations of your approach?
Key Mathematical Concepts
Geometry
Arc Length
Calculus
Integration