Mechanics 4 Coursework - page 5
Keywords: Modelling, Landing sequence, Aeroplane, Particle
By christi on 11/07/2009
Level: A Level (Year 13)
Page Number: 5 of 5 pages: 1 2 3 4 5
82 (distance travelled in 3rd second) and so on. This gives a total of 1107m.
6 CONCLUSION
Therefore, from the results and evidence presented in my investigation, the differential equation that models this data is v' = -0.00085847v^2 when t 9
The minimum length of the runway that the plane requires to land is 1107m calculated using the values of v, the accumulated values of v. The three models provided me with vital variations that proved pivotal when finalising the differential equation. The first model gave a basis to work with, however there were many flaws in that model that needed to be addressed such as when the brakes were applied what affect that would then have on the forces acting on plane as it approached touchdown.
The second model provided a more in-depth analysis of the motion of the plane as, v' = -Av^2 when t <= T. It was discovered that the brakes were applied at 9 seconds which was why from that point forward the velocity decreased by 2/3m/s each second. This meant that another dimension had to be considered to model the differential equations. This provided 2 different and separate models.
7 EVALUATION
Throughout the investigation, secondary data was used, this meant that the primary source of the data is unknown and therefore I had no control over where the data came from or the extent of the reliability and accuracy of the results given. This may have affected or even influenced the modelling of the final differential equation as the basis of how it landed
8 REFERENCES AND BIBLIOGRAPHY
The resources, books and websites used were:
• www.google.com
• http://www.mathematics.jhu.edu/mathnew/undergrad/guidance/diffeq.html
• http://www.physicsclassroom.com
Last 5 comments…
There have been no comments posted for this article, but you need to register if you want to be the first!