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PLEASE HELP!!!!
Ben and Jerry scheduled a four day mountain hike during summer vacation. The distance traveled is listed below (draw this out on a scratch sheet of paper if needed.)

Day 1: 10 km west and spent night at a hiker's inn.

Day 2: 10 km west and night in a tent.

Day 3: 10 km west and then they turned around and went back to the inn because Ben left his allergy medicine.

What was Ben and Jerry's total displacement from home when they arrived at the inn?

Respuesta :

First day:

the displacement is 10 km west

so we have

[tex]d_1 = -10 \hat i[/tex]

Second day

10 km west again

so we have

[tex]d_2 = -10 \hat i[/tex]

Third day:

10 km west again

so we have

[tex]d_3 = -10 \hat i[/tex]

Fourth Day:

20 km East as they return to the Inn

so we have

[tex]d_4 = 20 \hat i[/tex]

so total displacement of Ben and Jerry till fourth day from home is given as

[tex]d = d_1 + d_2 + d_3 + d_4[/tex]

[tex]d = -10\hat i - 10\hat i -10\hat i + 20 \hat i[/tex]

[tex]d = -10\hat i[/tex]

so final displacement from home is 10 km west

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