The wind has a velocity relative to the ground

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

The wind has a velocity

\mathbf{v}_w=30\hat{i}+40\hat{j}\,\text{km h}^{-1}

relative to the ground, while an aircraft moves with

\mathbf{v}_p=110\hat{i}+20\hat{j}\,\text{km h}^{-1}

relative to the ground. The velocity of wind relative to the aircraft is (a)

80\hat{i}-20\hat{j}\,\text{km h}^{-1}

(b)

-80\hat{i}-20\hat{j}\,\text{km h}^{-1}

(c)

-80\hat{i}+20\hat{j}\,\text{km h}^{-1}

(d)

-80\hat{i}+60\hat{j}\,\text{km h}^{-1}