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What is the delivery truck’s overall displacement (magnitude AND direction) from start to finish?

A. Magnitude: 86 m; Direction: 45° clockwise from North
B. Magnitude: 60 m; Direction: 45° clockwise from North
C. Magnitude: 86 m; Direction: 135° clockwise from North
D. Magnitude: 60 m; Direction: 135° clockwise from North

User Stay
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1 Answer

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Final answer:

The delivery truck's overall displacement from start to finish is 86 m in magnitude and 135° clockwise from north in direction.

Step-by-step explanation:

The delivery truck's overall displacement from start to finish can be determined by finding the net displacement vector. From the given information: the delivery man drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Using the analytical method, we can add these displacements vectorially by breaking them down into their respective north and west components.

The net displacement vector is found by adding the north and west components of each displacement and determining the magnitude and direction. In this case, the magnitude of the displacement is 86 m and the direction is 135° clockwise from north. Therefore, the correct answer is option C: Magnitude: 86 m; Direction: 135° clockwise from North.

User Ann Kilzer
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