A drone is instructed to move from point to point

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

Problem

A drone is instructed to move from point

A(a,\,2a)

to point

B(4a, -a)

, where

a

is a positive constant. (a) Express the displacement vector

\overrightarrow{AB}

in component form in terms of

a

. (b) Show that the magnitude of

\overrightarrow{AB}

\sqrt{10}\,a

. (c) For

a = 30\,\text{m}

, calculate the numerical value of the magnitude and the direction of

\overrightarrow{AB}

measured counter-clockwise from the positive x–axis.