# Calculus

A ship's course is set at a heading of 192 degrees, with a speed of 30 knots. A current is flowung from a bearing of 112 degrees, at 14 knots. Use Cartesian vectors to determine the resultant velocity of the ship.

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1. Perform a vector addition of the ship's velocity with respect to the water (V1), plus the velocity of the water with respect to land (V2).
i = unit vector east
j = unit vector north

V1 = 30 sin 192 i + 30 cos 192 j
V2 = 14 sin 112 i + 14 cos 112 j.

V1 + V2 = ?

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