jensen11

Joshua and Rachel throw a shoe downward with an initial velocity of -10 feet per second out of a window in an attempt to hit some obnoxious one legged purple toed platypus on the street 50 feet below. It sees it coming and avoids it. How long does it take the shoe to hit the ground?
 * The Word Problem: **

Object is thrown:

This is the correct equation to use because this problem is to find the time for the object we __threw__ and that is the equation you use for thrown objects.

h=the height of the object at any given point in time. t=time the object is in motion(seconds) =the initial height in feet from which the object was dropped or launched. v=the initial velocity(in ft/sec) on the object when it was launched.

Standard Form:

a,b,c: a=-16 b=-10 c=50

We predict the shape of our parabola will be an upside down you and it won't be very wide because our number (-16) is whole and it is negative. Our C is 50 which will probably shift our vertex up so it'll be a maximum. The y-intersept is C, (0,50). The Discriminant of our equation is 3300. The discriminant quickly tells you the number of real roots, or in other words, the number of x-intercepts, associated with a quadratic equation. Our parabola will have two roots.
 * The Parabola: **

= = = and line of symmetry  =

= Solving for the roots: =

= = = = = The shoe in our equation was in the air for about 1.48 seconds before it hit the ground. =

What does it mean? The vertex of our graph tells us nothing since it is negative. It doesn't measure anything because we cannot have a negative time. Our Y-axis however tells us the point of where we were when we threw the object. The roots of our equation show where the shoe hit the ground.

= **__Reflection__** : =

Josh:
=== This project helped me understand the steps needed to solve throwing equations. It also helped me to understand how every point in the graph helps to make it easier on the other ones. This word problem helped me understand how to use the quadrayic formula. At first i didn't understand how to use it really good, but this word problem made it more simple for me, therefor made it easier for me to understand. If we had done this project when we were learning about the vertical motion products I think I would have done a lot better on the test and homework. This helped me understand it all and also helped me understand that trying to do this on your own would have been hard, even though this was a 3 group project mym partner and I finished it and I personally think we did a great job on it. ===

Rachel:
=== This project helped me understand the steps you take in order to solve these types of word problems. It also helped me see the important points of the graph and how you need one point to find the other and then to solve for the next and it goes on. I also now understand the steps you take in using the quadratic formula for these problems. It helped me with all the things i didn't know before when we studied vertical motion products. if we had done this project back then I think it could have helped me with the test because I would have understood the problem more. ===