Minossoo is training for cross country in the fall. He ran 5 miles east. Then he turned around and ran 4 miles west. Draw and label the vectors that show each segment of his trip and the resultant displacement vector. Find his resultant displacement.

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Answer:

The resultant vector is [tex]\overrightarrow{AB}-\overrightarrow{BC}[/tex]. The resultant displacement is 1 miles.

Step-by-step explanation:

It is given that Minossoo is training for cross country in the fall. He ran 5 miles east. Then he turned around and ran 4 miles west.

Let he start from point A, then ran 5 miles east and reach to point B. After that he turned around and ran 4 miles west to reach point C.

[tex]|\overrightarrow{AB}|=5miles[/tex]

[tex]|\overrightarrow{BC}|=4miles[/tex]

His initial direction is east, then he turned and run along the west direction. The resultant vector is

[tex]\vec{v}=\overrightarrow{AB}-\overrightarrow{BC}[/tex]

The resultant displacement

[tex]\vec{v}=5-4=1[/tex]

Therefore resultant vector is [tex]\overrightarrow{AB}-\overrightarrow{BC}[/tex]. The resultant displacement is 1 miles.

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