A boat travels at an angle north of east and then due east from the same starting point.

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

Problem

A boat travels

100\,\text{m}

at an angle

30^{\circ}

north of east and then

80\,\text{m}

due east from the same starting point. (a) Express the boat’s resultant displacement in

\mathbf{\hat{i}},\mathbf{\hat{j}}

notation. (b) Determine the magnitude of the resultant displacement and the angle it makes with the eastward direction.