A boat’s engine produces a velocity of due east relative to the water

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

Problem

A boat’s engine produces a velocity of

6.0\,\text{m}\!/\!\text{s}

due east relative to the water. The river current flows

2.5\,\text{m}\!/\!\text{s}

40^{\circ}

south of east, and the wind effectively adds

1.5\,\text{m}\!/\!\text{s}

due north to the boat’s motion. Determine the boat’s speed and its direction (expressed as an angle south of east) relative to the ground.