A ship sails 10 km due east

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A ship sails 10 km due east, then 6 km in a direction 45∘45^{\circ} south of west, and finally 12 km due north. (a) Express the ship’s net displacement vector in the form ai^+bj^a\hat{i}+b\hat{j}, where east is positive i^\hat{i} and north is positive j^\hat{j}. (b) Determine the distance the ship must now travel to return directly to its starting point.

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