A drone makes two successive flights

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A drone makes two successive flights. In the first flight its displacement is

\mathbf{A}=450\,\hat\imath + 200\,\hat\jmath\,\text{m}

. In the second flight its displacement is

\mathbf{B}=-150\,\hat\imath + 500\,\hat\jmath\,\text{m}

. (i) Determine the x–component and y–component of the resultant displacement

\mathbf{R}=\mathbf{A}+\mathbf{B}

. (ii) Calculate the magnitude of

\mathbf{R}

and the angle it makes with the positive x–axis, expressing the angle in the range

0^{\circ}

360^{\circ}

. (iii) Express the resultant displacement in unit–vector form, giving the numerical coefficients to three significant figures.