Arraya+2,+C+Halligan


 * BACKGROUND**

Problem A.
 * The Arraya 2, a breathtaking work of architecture and ingenuity captivates the Kuwait Skyline and bedazzles the world with its brilliance and charm. At nearly 984 ft, this elegant structure was once the largest building of its country and still draws breath on its magnificence and jaw dropping sophistication. Its impressive exterior can only be rivaled by the beauty and taste of what flourishes inside this dazzling building. With white marble floors, beautiful office and commercial spaces, and the spacious environment, its no wonder that this structure broke both records in height, but also as a true work of art.[[image:Arraya.JPG width="160" height="284"]]**

Ronald Rump was a gigantic snob had recently bought Arraya 2 as his new office space and renovated the top floor to be his penthouse. One day, while he was on his deck, on a particularly non-windy day, he dropped his hairpiece from the top of the building. He saw one of his workers on the ground and needed to call him before his hair fell into an open manhole. If it took him 30 seconds to reach his son, was he informed with enough time to catch his father’s descending hairpiece? In any case, how long did it take for the hairpiece to reach the ground?

Problem B. Before Ronald Rump’s son could even catch it, he tripped and it fell into the manhole. Before it fell into sewage water, a former employee caught the hairpiece and wanted to send his boss a message. He fitted the wig on a sewage rat, climbed out of the manhole and hurled the rat towards the top of Ronald’s penthouse. If he threw it to the top of the building at 300 feet per second, and it was at a maximum height above the building, after how many seconds did it reach Ronald Rump?