1. Tardigrade
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  4. On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, the displacement of the motorist at the third turn is

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Q. On an open ground, a motorist follows a track that turns to his left by an angle of $60^°$ after every $500\,m$. Starting from a given turn, the displacement of the motorist at the third turn is

Motion in a Plane

Solution:

The path followed by the motorist is a regular hexagon $ABCDEF$ of side length $500\,m$ as shown in the figure.
image
Let the motorist starts from $A$ and takes the third turn at $D$.
Therefore, the magnitude of this displacement is
$AD = AG + GD$
$ = 500 \,m + 500 \,m$
$ = 1000\, m$