A boat moves through still water at due east while a river current flows due north

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A boat moves through still water at 4 m s−14\,\text{m\,s}^{-1} due east while a river current flows 3 m s−13\,\text{m\,s}^{-1} due north. The speed and direction of the boat relative to the ground are (a) 5 m s−15\,\text{m\,s}^{-1} at 53∘53^{\circ} north of east (b) 5 m s−15\,\text{m\,s}^{-1} at 37∘37^{\circ} north of east (c) 7 m s−17\,\text{m\,s}^{-1} at 37∘37^{\circ} north of east (d) 5 m s−15\,\text{m\,s}^{-1} at 37∘37^{\circ} east of north

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