Question

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)

Answer 1

Answer:

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

$|\vec{r_{2}}|=\sqrt{17.5^2+22^2}$

$|\vec{r_{2}}|=28.11\ m$