Particle P moves with velocity while particle Q moves with velocity

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

Problem

Particle P moves with velocity

\mathbf{v}_P=(3\hat{i}+4\hat{j})\,\text{m\,s}^{-1}

while particle Q moves with velocity

\mathbf{v}_Q=(5\hat{i}-2\hat{j})\,\text{m\,s}^{-1}

. The magnitude of the velocity of P relative to Q is closest to (a)

7.3\,\text{m\,s}^{-1}

(b)

6.3\,\text{m\,s}^{-1}

(c)

4.5\,\text{m\,s}^{-1}

(d)

8.2\,\text{m\,s}^{-1}