What are some real world applications of quadratics?

  • Context: High School 
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Discussion Overview

The discussion centers around the real-world applications of quadratic equations, exploring various contexts in which these mathematical concepts can be utilized. Participants seek to identify specific scenarios in engineering, mathematics, and other fields where quadratic equations play a role in problem-solving.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant notes that quadratic equations are often discussed in high school as useful for measuring real-life phenomena but lacks specific examples.
  • Another participant suggests areas of application including optics, pH buffers, and geometric surface problems related to rectangular shapes.
  • A different contribution humorously proposes that the trajectory of a person jumping off a high building can be modeled using quadratic equations, while also cautioning against such actions.
  • A later reply expresses agreement with the humorous suggestion but emphasizes the importance of safety and calculation in real-world applications.

Areas of Agreement / Disagreement

Participants generally agree on the usefulness of quadratic equations in various applications, but specific examples and contexts remain varied and not fully resolved.

Contextual Notes

Some contributions reference educational materials and textbooks for further examples, indicating a reliance on those resources for comprehensive understanding.

5ymmetrica1
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So in high school my teacher would like to always talk about how useful quadratic equations are in a diverse set of circumstances when using math to measure and calculate real life phenomena, but he never really mentioned any real world applications outside of a few abstract word problems.

So I'd like to ask the engineers and mathematicians here, what are some real world situations where quadratic equations would be used to solve a particular problem?
 
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As a quick response, a few application areas which come to mind are Optics, and pH Buffers, and some geometric surface problems based on rectangular shapes. Check your book (assuming either Intermediate Algebra, or College Algebra) for application problem exercises, since a good Algebra book would have them.
 
5ymmetrica1 said:
So in high school my teacher would like to always talk about how useful quadratic equations are in a diverse set of circumstances when using math to measure and calculate real life phenomena, but he never really mentioned any real world applications outside of a few abstract word problems.

So I'd like to ask the engineers and mathematicians here, what are some real world situations where quadratic equations would be used to solve a particular problem?

Go to a high building. Jump off the building. Your path can be accurately described using quadratic equations (ignoring air resistance).
 
micromass said:
Go to a high building. Jump off the building.

Don't do this.
 
I have to agree with diffy, as then I would not be able to calculate anything :D

Thanks for the replies everyone
 

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