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2011 Problems

Problem A

Problem: Space Shuttle Problem: No More Space Shuttles

On July 21, 2011, the 135th and final US Space Shuttle landed in Florida after its 13-day mission into orbit, complete with a docking at the International Space Station (ISS). NASA will now have to rely on other nations or commercial endeavors to travel into space until a replacement vehicle is developed and constructed. Develop a comprehensive ten-year plan complete with costs, payloads, and flight schedules to maintain the ISS.

Some interesting facts possibly worthy of your consideration:

. The ISS is at full capacity with 6 astronauts, but can surge during shuttle docks to as high as 13.
. The ISS is scheduled to remain in service until at least the year 2020.
. Historically, transport to the ISS using US Shuttles has cost between $5000-10,000 per pound. Shuttle missions have lasted approximately 10-14 days in orbit. Missions on board the ISS typically last around six months.
. Recently, progress has been made within private industry to launch unmanned rockets into space.
. Russia is willing to launch US astronauts into space at a cost of about $60 million each.


Problem B

Problem: Search and Find

Finding lost objects is not always an easy task, even when you have knowledge of a general location. Consider the following scenario: you have lost a small object, such as a class ring, in a small park see map 1. It is getting dark and you have your pen light flashlight available. If your light shines on the ring, you assume that you see it. You cannot possibly search 100% of the region. Determine how you will search the park in minimum time. An average person walks approximately 4 mph. You have about 2 hours to search. Determine the chance you will find the lost object. Using map 2, assume, a jogger is lost who was going on a 5 mile run. Determine how you search the region to have a good chance of finding the lost jogger (who might be unconscious). Assume it is night and you only have your pen light as a light source.

Problem B Maps