A drone takes off from the origin of an – coordinate system

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A drone takes off from the origin of an

x

–

y

coordinate system. It flies

400\,\text{m}

at an angle of

30^{\circ}

north of east, then immediately changes course and flies

250\,\text{m}

due west before hovering. Determine the magnitude and direction (angle measured counter-clockwise from the

+x

axis) of the drone’s net displacement relative to its starting point.