weaks5_6

=Manuel per.6=

Follow the directions on the Vertical Motion page, to complete each of the sections below.
 7) A lacrosse player throws a ball upward from her playing stick from an initial height of 7 feet and an initial velocity of 90 feet per second. How long before the ball 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.


 * __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?
 * 1) "A"=-16 B=90 C=7
 * 2) "A" can effect weather the parabola is going up or down (- or +) the bigger the number of "A" is the thiner the parabola is and if the "A" is smaller the wider the graph is.It will be facing down with a skinny line.
 * 3) "C" affects the graph because the value of "C" translates or shifts up (+) or down (-). our graph will be shifted up 7 times.
 * 4) The discriminant can tell you how many roots you will have in your parabola. in our case our discriminant is positive so our graph will have 2 roots. [[image:Discriminant.png]]

By using the axis of symmetry you can find the vertex.
 * __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) Calculate the axis of symmetry and vertex. Show your work using MathType.

By putting this equation into the axis of symmetry equation: We get By then simplifying we get

by plugging this into our equation your vertex will be =268= the vertex is either the maximum or minimum point of the graph depending on if the parabola opens up or down. Then by finding your axis of symmetry and your vertex your graph would look like this

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1.The time it takes to hit the ground. 2. The vertex represents how high the ball went. 3. The y-intercept represents the height where the ball is being released. 4. The roots represent how much time it took to hit the ground. 5. The Lax ball was in the air 5.7 second. I know this because after we did the quadratic formula the answers were 5.7 and -0.062 and since the ball can't take a negative amount of time to fall, the answer is 5.7.
 * __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?
Cristian: What i found difficult in this project was doing the parabola, especially finding out the vertex and the roots. The next to make this project more easier is knowing what I would have to do in the project; for I could be prepared. It helped me to remember how to do and find the roots, vertex, and the axis of symmetry of a parabola. For pretending to be the teacher made me feel smart and proud of myself knowing what to do in the equation.

Manuel: what I found difficult in this project was trying to solve weather the parabola will face and how to find the parabola, vertex, points, and axis of symmetry. I would study more so next time the project will be easier. This project really helped me to understand the vertical motion how to solve and use the quadratic formula. Pretending to be the teacher made me feel smart and proud of myself that i can solve this problem. which was really hard.