Q.
On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500m. Starting from a given turn, the displacement of the motorist at the third turn is
The path followed by the motorist is a regular hexagon ABCDEF of side length 500m as shown in the figure.
Let the motorist starts from A and takes the third turn at D.
Therefore, the magnitude of this displacement is AD=AG+GD =500m+500m =1000m