Kinematics Say What?

I've chosen 1D motion to apply my knowledge to. This Prezi will give the information necessary to understand the upcoming application.

1D Motion Prezi

Now that the concepts of 1D motion have been explained, it's time to begin the application of this knowledge. I will be applying 1D kinematics to how the runway length for jets is determined, as well as whether or not all jets have the same length runway and why they do or do not.

The first question asks how the runway length for jets is determined. To demonstrate this, I have found that a Boeing 747-400 takes 51 seconds to go from 0 m/s to 77.78 m/s. This information already gives you the initial velocity, final velocity, and time. The starting distance can also be assumed to be 0m. From here, you would use one of the kinematics equations to solve for distance, and that would be the length of the runway. Here's how you would solve this:

X=X0+1/2(V0+V)t

X=0+1/2(0+77.78)51

X=1/2(77.78)(51)

X=1983.39m

The second part of this question is whether or not all jets have the same runways, and why. Jets do not have the same runway length, and this is due to the differences in their acceleration. If a jet fails to reach the required takeoff speed, this can cause the plane to crash. Each runway is made for this purpose-- the plane can reach its takeoff speed and have room to lift off.

 

 

To explain how too short and too long a runway affects jets, I have created an Xtranormal video.

Sources:

"Acceleration of B-747-400." The Wings Of The Web. Airliners.net, n.d. Web. 11 Apr. 2012. <http://www.airliners.net/aviation-forums/general_aviation/read.main/1248698/>.