Represent graphically a displacement of $40 \, km,$ $30^\circ$ west of south.

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(N/A) To represent the displacement of $40 \, km,$ $30^\circ$ west of south graphically:
$1$. Draw a coordinate system with North $(N)$,South $(S)$,East $(E)$,and West $(W)$ directions.
$2$. Choose a suitable scale,for example,$1 \, cm = 10 \, km$. Thus,$40 \, km$ corresponds to a length of $4 \, cm$.
$3$. Start from the origin $O$ and draw a line segment $OP$ of length $4 \, cm$ in the direction $30^\circ$ west of south (i.e.,starting from the South axis and moving $30^\circ$ towards the West).
$4$. The vector $\vec{OP}$ represents the required displacement of $40 \, km,$ $30^\circ$ west of south.

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