A boat moves in three successive displacements: 1

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A boat moves in three successive displacements: 1.

\mathbf{R}_1

4\,\text{km}

due east 2.

\mathbf{R}_2

3\,\text{km}

45^\circ

north of west 3.

\mathbf{R}_3

5\,\text{km}

due south What is the resultant displacement

\mathbf{R}

in unit-vector notation? (a)

6.1\,\mathbf{î} - 2.9\,\mathbf{ĵ}\,\text{km}

(b)

1.0\,\mathbf{î} - 2.0\,\mathbf{ĵ}\,\text{km}

(c)

1.9\,\mathbf{î} - 2.9\,\mathbf{ĵ}\,\text{km}

(d)

-1.9\,\mathbf{î} - 2.9\,\mathbf{ĵ}\,\text{km}