230k views
3 votes
Suppose you walk 17.5 m straight west and then 22.0 m straight north. How far are you from your starting point (in m)

1 Answer

4 votes

Answer:

Step-by-step explanation:

Given

Man walks 17.5 m straight to west 17.5 m

So position vector is given by


\vec{r_1}=-17.5\hat{i}

Now he walks 22 m North

so position vector is


r_(21)=22\hat{j}

Position of man from initial Position


\vec{r_(2)}=\vec{r_2}-\vec{r_1}


\vec{r_(2)}=22\hat{j}-(-17.5\hat{i})


\vec{r_(2)}=17.5\hat{i}+22\hat{j}

So Magnitude of distance is given by


|\vec{r_(2)}|=√(17.5^2+22^2)


|\vec{r_(2)}|=28.11\ m

User Edonbajrami
by
5.2k points