High School

A man walks 46.5 meters east, then another 20 meters east. Calculate his displacement relative to where he started.

Show your answer using lines and arrows.

Answer :

Final answer:

Displacement is the distance travelled in a specific direction. The man's total displacement was 66.5 m east. The displacement is represented by 66.5 lines pointing east.

Explanation:

Displacement refers to the shortest distance from the initial to the final position of point. It is a vector quantity with both magnitude and direction. In this case, the man walks 46.5 m east, and then another 20 m east.

As both steps are in the same direction, we need to add these two distances to get the total displacement. So, his total displacement would be 46.5 m + 20 m = 66.5 m east.

If we represent each meter the man walks as a line segment with an arrow pointing east, initially he walks 46.5 lines east. Then he walks another 20 lines east. So, his total displacement would include 66.5 such lines pointing east, indicating the magnitude and direction of his displacement relative to where he started.

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