weaks5_4

//**Weaks Period 5 Group 4**// =The 1, 2 , 3 ' s=
 * Facilitator:** ** Izaiah **
 * Recorder:** ** Dennis **
 * Number Cruncher:** **Tamara**

=
__**Word Problem:**__ 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? ======

This is the correct equation because it is asking how long did it take for the ball to get to the ground and it is asking for the velocity and this is the equation to use because it has velocity in it. They already have the ending height which is the //**h**//, the velocity which is **//v//**, and the original height which is **//h0//**. All the equation needs is **//t//** which is time and we can figure out what **//t//** is with all the rest of the variables. //**h= 0ft v= 80ft/s h0=** **3ft**//

//**a= -16 b= +80 c= +3**// The affect that //**a**// has on the graph is the maximum or minimum and if it is narrow or wide. The //**a**// in this equation makes the vertex the maximum and the parabola narrow. We know this because the **//a//** is a negative number. The //**c**// in the problem determines the //__y-intercept__// of the quadratic function. //**C**// is the original height from where the ball was hit in the air by the batter. The __//y-intercept//__ of this equation is 3ft. The discriminant of this problem is 6,592 and there will be 2 points that intercept the __//x-axis//__. Where is the math that proves this? How did you figure it out?**
 * __The Parabola:__**
 * [[image:54dis.png width="269" height="190"]]

First thing you have to do is find the Vertex. To find this, you have to find the Axis of Symmetry. To find the Axis of Symmetry, you must use The Axis of Symmetry is 2.5. Next, you need to plug 2.5 in as //**t**// because plugging 2.5 in to find the vertex of the problem. The vertex of the equation is **(2.5, 103)** //**Finished Graph**// The best way to find the roots was the Quadratic Formula
 * __The Math__:**

1. The solution to our vertical motion problem is the time it took for the ball to hit the ground after it was hit 3 feet off the ground by the batter. 2. The //__vertex__// to our vertical motion project is at the maxinum point to our problem. 3. The __//y intercept//__ represents the hight were the ball was hit 4. The positive root represents the time it took for the ball to hit the ground. 5. The base ball is in the air for 5.0372 seconds.
 * __The Solution and The Meaning__:** What do the different parts of the graph mean? What does the solution mean?


 * __Reflection__:**

The thing that we found difficult was figuring out the roots f the problem because, the answer come out as a decimal. The next time, the way we will do things diffrently to make things run smoother is by working the whole time instead of talking and messing around. Yes we did because, making the few mistakes that we did helped us be more aware of certain parts more then before. Yes. Yes it felt dufficult to define every part of the prblem because we really had to think hard.