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Finding angle and magnitude

In an assembly operation, a robot moves an object first straight upwards and then to the east, around an arc forming on quarter of a circle of radius 4.80 that lies in an east-west vertical plane. The robot then moves the object upward and to the north, through a quarter of a circle of radius 3.70 cm that lies in a north south vertical plane. Find a) the magnitude of the total displacement of the object, and b) the angle the total displacement makes with the vertical.

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Suppose the original position is (0,0,0), we call it point O. During first period movement, it passes quarter of a circle ...

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The answer is given with a 100-150 word explanation.

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