A boat can move at relative to still water towards the north

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A boat can move at

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

relative to still water towards the north. The river flows eastward at

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

. Determine (i) the magnitude of the boat’s velocity relative to the ground and (ii) the angle it makes with the north direction.