weaks5_9

Weaks Period 5 Group 9 name: J^2 Algebra Tech Jacob's Role:Facilitator Joseph's Role:Recorder Shared Role:Number-Crunchers

Follow the directions on the Vertical Motion page, to complete each of the sections below.

 * __The Word Problem__:** You are standing on a bridge over a creek holding a stone 20 feet above the water. You throw the stone upward with an initial velocity of 30 feet per second. How long will it take for the stone to reach the water?



The Velocity Equation will be used because the object is thrown upwards.

h=20 v=30 Ho=0 t=1 This relates to our vertical motion problem because the bridge is 20 feet over the water and the object is thrown at 30 ft. per second upwards.



Because a is negative, the parabola will face downwards. The magnitude of the parabola will be narrow because A is a large number. C says that the position of the y-intercept will be 20 feet. This number tells that the graph will be very narrow.
 * __The Parabola:__** a=-16, b=30, c=20

Vertex Equation
 * __The Math__:**


 * __The Solution and The Meaning__:**
 * 1) My solution means that the stone took about one second to reach the water.
 * 2) The vertex represents the stone's highest point. Because the vertex is the highest point on the graph.
 * 3) The y-intercept represents where the stone gets thrown into the water. Because it is where the parabola starts.
 * 4) The roots represent where the rock hits the water. Because that is where the parabola ends.
 * 5) The object was in the air for about one second, I know this because when I solved for x using -b/2a, I got x about equals 1.

Jacob's Summary The one thing I found difficult was graphing the parabola because I was confused on using the scale. One thing I would change to make the project run smoother would be making my work a little more neat. Doing this project did help me understand vertical motion and quadratic equations better because now I memorized the vertical motion equation and know how to graph it. It felt good to do the work and pretend to be the teacher because now I understand it pretty well.
 * __Reflection__:**

Joseph's Summary I think that finding the parabola is difficult to me, because you have to calculate it at the precise number. I don't think that there's any need to do anything different to run the project smoother. Yes, the project did help me understand the quadratic equations and vertical motions better now that I have memorized all of the steps to it. I find pretending to do the work and pretend to be the teacher a bit difficult when it comes to describing all of the details of the problem.