weaks4_8

Weaks Period 4 Pi_Eaters: DeAngelo Grant, Greg Graham, & Jesse Haugen

Follow the directions on the Vertical Motion page, to complete each of the sections below.[[image:file:///Users/student/Desktop/pi.PNG]]

 * __The Word Problem__:** How would you solve for time in the problem your group was assigned? Prepare the equation to solve for time, defining the variables and supporting your choice in equation.

A peregrine falcon dives toward a pigeon on the ground. When the falcon is at a height of 100 feet, the pigeon sees the falcon, which is diving at 220 feet per second. Estimate to the nearest tenth of a second the time the pigeon has to escape.

These is the Right formula because the falcon is being a projectile and that is the same as being thrown.
 * __The__** **__Parabola:__** Use what you know about parabolas to predict the shape of the graph. What will it look like, and how do you know?

[[image:48parabola.png width="204" height="147"]] <(discriminant) B squared minus 4(ac) tells your roots

 * __The Math__:** Pretend you are the teacher, and this section is your lesson. Post the calculations required to graph the equation and find the solution, and show all the steps to doing so. Teach your audience all the important parts of the graph and explain what they mean for the problem you were given.

[[image:axis.png]]
The Graph The solution is 0.5 seconds. This means that the pigeon has 0.5 seconds to see the falcon and "attempt" to escape. The vertex represents the point where the falcon begins to dive, because the graph is the path of the falcon. The y-intercept represents when the pigeon sees the falcon and it is also the point where the falcon is at 100ft. The roots represent when the falcon is at the same level as the pigeon, because it is when the falcon intersects with the x-axis. The object (the falcon) is in the air for 0.45 seconds, and we know this because that is the amount of time between the root and the y-axis.
 * __The Solution and The Meaning__:** What do the different parts of the graph mean? What does the solution mean to your problem?

Reflect:How did it feel to do the work and pretend to be the teacher? Do you think you understand the material more, now? Why or why not?

Greg's reflection: One thing that I found difficult to do is to make the graph because we couldn't get the thing to graph our equation. Next time we do this project I would try to graph the equation as soon as possible. This project did help me understand quadratic equations and vertical motion because now I know what all parts of the graph mean. It was hard to pretend to be the teacher.

DeAngelo Reflection: One thing I found difficult in this project was finding the discriminant and finding how long it took for the falcon to reach the pigeon, this was also the solution. Explaining stuff like a teacher was also difficult. Right now, with the help of my friends, we completed the project together, but I still do not understand any of the material. I don't understand it because, I do not remember the quadratic formula.

Jesse's reflection: What I found difficult wa making the graph & finding the roots because our numbers were big. That I would do differently next time is try & get more help. This project helped me understand the quadratic formula better because I learned how to use it better. I felt that it was hard to pretend to be the teacher because they have to do a lot.