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quiz2sol - 1.2.3.4.Total September12,2007 PHY2053...

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                                    1.       2.       3.       4.       Total: September 12, 2007   PHY2053  Quiz 2 (Chapter 3) Name:                                   UFID: 1. (5 pts) Jacksonville is 120miles away from Gainesville and in a direction 45 °  north of  east. Tallahassee is 250miles away from Gainesville and in a direction 30 °  north of  west. Find the direction of Tallahassee relative to Jacksonville.   Jacksonville relative to Gainesville = (120cos45 ° , 120sin45 ° ) = (84.8, 84.8) Tallahassee relative to Gainesville = (250cos150 ° , 250sin150 ° ) = (-217, 125) Tallahassee relative to Jacksonville = (-217, 125) - (84.8, 84.8) = (-302, 40.2)  = tanˉ ¹  (40.2/-302) + 180º=-7.58 + 180 = 172º, 8º north of west θ 2. (5 pts) A stone is thrown from the top of a building at an angle of 45 °  above the  horizontal. The height of the building is 80m. The stone hits the ground 100m away 
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