Week 5 Discussion
This week we’ve talked about polynomials and their properties. Polynomials show up in the real world a lot more than you would think! Applications can be found in physics, economics, meteorology, and more.
One real-world example of a degree-two polynomial is the projectile motion equation used in physics:
Details about this formula can be found at the brainfuse.com website.
For example, if you hit a baseball at shoulder height (say about , you may have an initial velocity of around. The force of gravity is about .
We can convert our miles to hour to feet per second (89.5 mph = 131.3 ft/s) and create an equation that would model the height of the ball at time t:
For the discussion this week we will use this equation in a baseball application. Techniques from 1.4 and 3.1 will be used. Show all of your work!
- Pick a baseball player’s average exit velocity from this list and convert it to feet per second.
- Estimate the height in feet that the ball would be hit and plug this and your velocity into the position equation. Give the equation.
- Find the maximum height of the ball (vertex).
- Find when the ball hits the ground (zeros).
- What role do you think the angle of the hit would play in modifying this equation or the values?
Brainstorming Your Topic
For this discussion, share the topic youâ€™ve chosen to write about for your Week 6 Rough Draft. (You might want to jump ahead and review the requirements for this assignment.) Share the following aspects of your topic:
- Exigence: What has prompted you to respond to this topic? (Other than the exigence of having to write a paper to earn a grade. This is a given.)
- Potential audiences: Identify three potential audiences who might be interested in or affected by this topic. (Your audience cannot be â€œeveryone,â€ â€œthe general publicâ€ or any other broad or vague audience. Be as specific as possible in defining potential audiences.)
- Possible avenues of research: What will you need to know or learn about in order to write effectively on this topic? Where might you find this information? (Note: Scholarly sources will be required of the Rough Draft, though you may use any other sources you deem appropriate if you can justify their use.)
- Most importantly: Generate a research question for your paper. This differs from generating a thesis statement (which is the answer to a question). Instead of deciding in advance what position you want to argue, a research question is open-ended. See the W4 Assignment for examples of research questions.
TOPIC: SHOULD INSURANCE COMPANIES BE ALLOWED TO CHARGE HIGHER WAGES BASED ON A PERSON’S AGE?