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15 David can row at 5 m/s in still water. He starts rowing from a point on the south bank of a river that is
flowing due east at 3 m/s and steers the boat at 90° to the bank. He is also being blown by a wind from
the north-east at 4 m/s.
a Express the velocity of the boat as a component vector.
b Hence find the speed of the boat, correct to 2 significant figures, and the bearing on which the boat is
travelling correct to the nearest tenth of a degree.

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