In this problem, we are dealing with plotting vectors graphically. After plotting we'll determine the final position and displacement.
North points in the y-axis. East points in the x-axis. South points All distances are in miles.
Wards initial position is (x,y) = (100,40)
Ruth's initial position is located at the origin (x,y) = (0,0)
Ruth sets out to visit her friend Ward, who lives 40 mi north and 100 mi east of her. She starts by driving east, but after 50 mi she comes to a detour that takes her 15 mi south before going east again. She then drives east for 8 mi and runs out of gas, so Ward flies there in his small plane to get her.
(a) What is Wards displacement vector? Give your answer in component form, using a coordinate system in which the y-axis points north.
(b) What is the magnitude of Wards displacement vector?
(c) What is the direction of Wards displacement vector, measured clockwise from the negative y axis?
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What scientific concept do you need to know in order to solve this problem?
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Based on our data, we think this problem is relevant for Professor Beer's class at MIAMIOH.