Real-life application of quadratic functions (parabolas).
In this module we’ve been working with quadratic functions and their graphs. Now let’s think about applications.
Go through the steps of what you’ve learned about the graphs of quadratic functions and finding maximum and minimum values. Be sure to answer each part in the order given. This is due by Week 5 of the course.
An accepted relationship between stopping distance, d (in feet), and the speed of a car, v (in mph), is
d = 1.1v + .06v2 on dry, level concrete.
What is the general shape of the graph? Is it wide or narrow? Does it open upward or downward? Do you predict a maximum or minimum?
How many feet will it take a car traveling 45 mph to stop on dry, level concrete?
If an accident occurs 200 feet ahead of you, what is the maximum speed you can be traveling to avoid being involved?
What would you expect, generally, if a downpour had occurred 15 minutes earlier?
Reflect on how this knowledge might affect your driving and write a sentence or two about your thoughts.
No citationsis needed
