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 , specify the displacement of the motorist at the third, sixth and eighth turn. Compare the magnitude of the displacement with total path length covered by the motorist in each case.

Explanation

Displacement of magnitude 1 km and direction `60^(@)` with the initial direction , total path length = 1.5km (third turn), null displacement vector , path length = 3 km (sixth turn), 866 `m.30^(@)`, 4 km (eight turn)