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6-023-DroneHeadingHome-ModelingScenario

Author(s): Richard Spindler

SUNY Plattsburgh, Plattsburgh NY USA

Keywords: drones oursuit flight path change of variables

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Abstract

Resource Image We describe a comprehensive project in modeling through a two dimensional system of equations and a first order system of differential equations a drone heading home.

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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

You just received a new long-range helicopter drone for your birthday! After a little practice, you try a long-range test of it by having it carry a small package to your home. A friend volunteers to take it 5 miles east of your home with the goal of flying directly back to your home. So you program and guide the drone to always head directly toward home at a speed of 6 miles per hour. However, a wind is blowing from the south at a steady 4 miles per hour. The drone, though, always attempts to head directly home. We will assume the drone always flies at the same height. What is the drone’s flight path? Does it get the package to your home? What happens if the speeds are different? What if the initial distance is different? How much time does the drone's battery have to last to get home?

Article Files

Authors

Author(s): Richard Spindler

SUNY Plattsburgh, Plattsburgh NY USA

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