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Unformatted text preview: adamkiewicz (ja28724) Vectors Morozova (11102) 1 This printout should have 12 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (3 . 3,5 . 2), where the units are meters, what is the distance of the fly from the corner of the room? Correct answer: 6 . 15873 m. Explanation: Given : x = 3 . 3 m and y = 5 . 2 m . Using the Pythagorean Theorem, d = radicalBig ( x ) 2 + ( y ) 2 = radicalBig (3 . 3 m) 2 + (5 . 2 m) 2 = 6 . 15873 m . 002 (part 1 of 2) 10.0 points Two points in the xy plane have cartesian coordinates ( x 1 , y 1 ) and ( x 2 , y 2 ), where x 1 = 3 . 9 m, y 1 = 10 m, x 2 = 10 m, and y 2 = 9 . 2 m. Find the distance between these points. Correct answer: 23 . 7034 m. Explanation: By simple geometry of triangle, the dis tance between two points is d = radicalBig ( x 2 x 1 ) 2 + ( y 2 y 1 ) 2 = { [ 10 m (3 . 9 m)] 2 + [9 . 2 m ( 10 m)] 2 } 1 / 2 = 23 . 7034 m . 003 (part 2 of 2) 10.0 points What is the angle between the line connecting the two points and xaxis (measured counter clockwise from the xaxis), within the limits of 180 to +180 )? Correct answer: 125 . 903 . Explanation: The angle is = arctan parenleftbigg y 2 y 1 x 2 x 1 parenrightbigg = arctan bracketleftbigg 9 . 2 m ( 10 m) 10 m (3 . 9 m) bracketrightbigg = 125 . 903 ....
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This note was uploaded on 04/14/2009 for the course PHYS 111 taught by Professor Moro during the Spring '08 term at NJIT.
 Spring '08
 moro
 Physics

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