weaks4_10

Weaks Period 4 Group 10: Arbegla Members.... Lindsey Nguyen Marcel Anderson Sean Comick

Follow the directions on the Vertical Motion page, to complete each of the sections below.
====4) A red-tailed hawk dives toward a snake. When the hawk is at a height of 200 feet, the snake sees the hawk, which is diving at 105 feet per second. Estimate to the nearest tenth of a second the time the snake has to escape. ====
 * __The Word Problem__:**

Represents the height that the hawk wants to get to.
This is the height that the hawk has to get to to reach the snake. In our Equation h is equal to 0ft because that is where the snake is.

Amount of time that the snake has to escape
Once the snake notices the hawk at 200 ft this is this the time the snake has to escape We are trying to solve for time in our Equaion once we find our solutions one of them will be equal to time

h(subzero) or initial height=Intitial Height is the height that the object was dropped or thrown In this case the Hawk is throwing itself.

Height that the hawk starts to dive.
This is the height in feet that the hawk is at when it is noticed by the snake. also known as the y-intercept or (c) In our Equation this is equal to 200 ft

v or Velocity=The initial velocity (in ft/sec) on the object when it was launched

The speed the hawk was moving when it dives.
The speed in ft per second the hawk is moving when it reaches 200ft Also known as (b) In our Equation this is equal to 105ft/sec

if a is a negative number then the parabola opens downward.
The a in our equation is negative so our Parabola will open downward.

the smaller a is the more wider the parabola will be
The a in our equation is equal to (-16) This means our parabola will be very narrow

c effects the location of the y-intercept
The c in our equation is equal to 200 ft. So our graph will cross the y axis at 200

Here we are calculating the dicriminant. The discriminant is the part of the Quadratic Formula.
(Shown Above)

We are doing this because it will help us to figure out how many solutions our problem will have.
Since our discriminant is equal to 23825 so there will be 2 solutions.

====**__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 A.S. stands for Axis of Symmetry. We used the equation (-b) over 2a.
This gave us our Axis. Our Axis of Symmetry is equal to -3.3 This is the axis that will split our Parabola down the middle. Plugging it back into the equation it gives us Our Vertex Our Vertex is the Axis Of Symmetry or (x) and (y) We got (y) by plugging (x) back into the equation

Here we are calculating our Problem using the Quadratic Formula. We identify and plug in our values for a, b, and c Here we use the Qudratic formula instead of Competing the Square. We do this because you cant factor it. Also because this is much a easier method then completing the square.



Explanation: Here we are explaining everything we need to do to simplify the problem. Or find our roots
====The best way to solve for "t" is to use the quadratic formula to find the roots of the parabola. We used the quadratic formula to find the roots of the parabola. The quadratic formula is correct because it helps you find the roots of the parabola. The roots were possible answers for time.====

1. The solution (2) in our equation represents the time the snake has to escape before the hawk reaches ground level.
====The other solution (-8) cannot work because the hawk is moving at 105 ft /sec and the snake sees it at 200 ft. Also the solution (-8) ====

4. Our roots (2,-8) represent possible solutions for t. Since you cannot have a negative time (-8) cannot work so (2) is our solution
====5. The hawk is in air for about 2 seconds. We believe this because the hawk is moving at 105 ft/sec and the hawk is at 200 ft. When the hawk was at 200 ft that was 0 seconds. When it was at ground level or 0 ft it was at 2 seconds ====

= <=======Marcel =