weaks5_3

Weaks Period 5 The Physics of Motions Facilitator: Anthony Verduzco-Paz Number Cruncher: Ivan Gastelum Recorder: David Young

Follow the directions on the Vertical Motion page, to complete each of the sections below.
1) You are competing in the field target event at a hot-air balloon festival. From a hot-air balloon directly over a target, you throw a marker with an initial downward velocity of -30 feet per second. from a height of 200 feet. How many seconds will it take the marker to reach the target?
 * __The Word Problem__:**

In the equation v stands for velocity, t sands for time,and h subscript 0 stands for initial height. is the equation we need because the marker is being thrown 200 feet above the ground with an initial velocity of -30.

// . // The effect of a on the graph is that it makes the graphing curve up if it's positive, and if it's negative it curves down. The effect of c on the graph is that it's the y-intercept.
 * __The Parabola:__** On the Parabola, //a// shows the direction the parabola opens,and the width of the parabola, and c is the value of y when x=0, so it's the point where the curve crosses the vertical axis.

Here we are figuring the discriminant. This will show us how many roots the parabola will have. The initial formula is //B^2-4AC//
Due to the fact that this is a positive number there will be 2 points on the parabola.


 * __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. **The work for the roots? The explanations? .**


 * __The Solution and The Meaning__:** What do the different parts of the graph mean? What does the solution mean?

The solution in our problem is around 2.3 seconds until the marker hits the floor, it can't be negative 4.28 seconds because you can't count backwards. Please note that the roots, where the function crosses the x-axis, are the solution to this problem because we are trying to solve for the moment in which y, which represents height, equals 0. The vertex in the equation represents the maximum height the marker can reach. Lets say that although h subscript 0 is the initial height the hot air balloon might still be rising ,so that makes the marker move upward with the rest of the balloon making the equation to take a while before it's in total effect.

Ivan Gastelum: I thought finding the axis of symmetry was difficult because I forgot that the equation to find it was x= -b over 2a. To make the project run smoother I would spend more time trying to find and understand the parts of this vertical motion problem. This project helped me understand vertical motion more because it reminded me that the equation to find the A.o.S. was x= -b over 2a. It felt good to be the teacher and do the work because I understand what I was teaching to the class.
 * __Reflection__**

Anthony Verduzco-Paz:I believe that the hardest part in this project was revising the team's work, because often times it was difficult trying to remember how to do this problem. Next I will take time at home to study what we learned we learned in class. Doing this project reminded me of the five ways we can solve quadratic equations... graphing, completing the square, the quadratic formula, factoring, and factor by grouping. It was nice being the teacher in this project because it tells me how much effort it takes to teach a group of students.

David Young: I found that figuring out the roots was the hardest part of the project. To make the project run smoother, I will spend less time figuring out the irrelevant parts of the problem.It helped me figure out what the equation for the vertical motion problem was. It was nice to be the teacher because I understood everything I was teaching.