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MATHEMATICS

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.
Express the velocity of the boat as a component vector.

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  1. He is moving East (x direction) at 3 - 4 cos 45 = 0.172
    His moving North (y direction) at 5 - 4 sin 45 = 2.172
    speed^2 = 0.172^2 + 2.172^2
    solve for speed magnitude
    tan (angle above x (East) axis) = 2.172 / 0.172

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