weaks4_2

__**The Variables**__
Emily Laramie, Melanie Freeman, and Paula Ledesma

Follow the directions on the Vertical Motion page, to complete each of the sections below.
9) A batter hits a pitched baseball when it is 3 feet off the ground. After it is hit, it moves with an initial upward velocity of 80 feet per second. If no one on the opposing team catches it, how long until it hits the ground?
 * __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.

This is an appropriate equation because it is the formula for if an object is being thrown.
=h=0 (height)= =v=80 (initial velocity)= =h "sub" 0 =3 (height anywhere in time__**)**__.=

This is important because it helps you identify a, b and c.

c effects the y-intercept, meaning it depends on where the axis of symmetry is.
This will tell us what the shape of the graph will look like.

The discriminant will tell us how many roots we will have, that will tell us the time the ball will take to reach the ground.
The next step would be to plug it in into the original equation. Then graph. Remember: the vertex is the top highest point and the roots are the x-intercepts. The axis of symmetry is the line that goes straight through it, in other words x. 5. The Quadratic Formula would be the best choice in this specific equation because the others, such as factoring, would be too hard for this problem.
 * __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.

1. Our solution means that the ball will hit the ground at 5.04 of a second. 2. The vertex represents right when the object is in the air it will stop for a moment and then start to come down. 3. The y-intercept represents the starting point of the objects height, because y equals or means that the height. 4. T he roots represent the beggining and end of the object in vertical motion because it shows the start and end of the time, in the parabola. 5. 5.04 seconds would be the solution because out of that and 0.04, this was the mst obvius and correct answer just straight off reasonable. It would take around 5 second for a baseball to reach the ground than if it took almost nithing in time. Solution= 5.04 seconds.
 * __The Solution and The Meaning__:** What do the different parts of the graph mean? What does the solution mean?

__**Reflection.**__ 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?

Recorder: Paula Ledesma I found out that finding the roots one of the hardest things to do in this problem because there were multiple ways to do so. I've learned that if a project like this with limit in time to take then you should care more about getting the math than how well the wiki looks.Definitely, doing this project, I was able to understand a lot on the whole process of a vertical motion problem. I think the hardest part would be when we had to try and explain things related to what it represent for real life. This was a lot of work but i think its all worth it when you realize all the work you've done.

Number Crunsher: Melanie Freeman I found that finding the roots because there was a couple ways to do it but it was also hard to do quadratic formula because it was the only way to do it so it wasn't easy. We should have to have a plan of what person will do so we don't waste time thinking about it. A little better because I know somewhat or the order or the whole vertical motion thing. It was a little confusing at first because it was different but once we did it a little I got a little better at it.

Facilitator: Emily Laramie I found the hardest part was the quadratic formula because I had to make sure that you don't mess it up. I would make easier next time to not miss a day because there was a lot of things they had to tell me. It made me understand more because to make sure they understand it.