A boat moves with velocity with respect to the ground

PHYSICS · Single correct · ISC · Physics · Kinematics · Kinematics

Problem

A boat moves with velocity

\mathbf{v}_B=10\hat{i}+6\hat{j}\,\text{km h}^{-1}

with respect to the ground, while the river water flows with velocity

\mathbf{v}_R=3\hat{i}-4\hat{j}\,\text{km h}^{-1}

. Determine the velocity of the boat relative to the river,

\mathbf{v}_{B\,\text{rel}\,R}

. (a)

13\hat{i}+2\hat{j}\,\text{km h}^{-1}

(b)

7\hat{i}+10\hat{j}\,\text{km h}^{-1}

(c)

-7\hat{i}-10\hat{j}\,\text{km h}^{-1}

(d)

7\hat{i}+2\hat{j}\,\text{km h}^{-1}