A hiker starts at the origin of a rectangular coordinate grid laid on a map

PHYSICS · Subjective · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A hiker starts at the origin

O

of a rectangular coordinate grid laid on a map. She walks to point

A\,(3\,\text{km},\,4\,\text{km})

and then proceeds to point

B\,(7\,\text{km},\,1\,\text{km})

. (i) Draw the position vectors

\mathbf{r}_1

for

A

and

\mathbf{r}_2

for

B

from

O

using a suitable scale. (ii) On the same diagram construct the displacement vector

\Delta\mathbf{r}=\mathbf{r}_2-\mathbf{r}_1

that shows the hiker’s movement from

A

B

. Measure its magnitude and direction. (iii) On the diagram also mark the vector

-\Delta\mathbf{r}

and state in words what physical movement it represents.