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Vilka [71]
3 years ago
7

A ship's course is set at a heading of 192°, with a speed of 30 knots. A current is flowing from a bearing of 112°, at 14 knots.

Use Cartesian vectors to determine the resultant velocity of the ship.
Mathematics
1 answer:
telo118 [61]3 years ago
5 0
What you need to do here is 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). 
Also remember that:
<span>i = unit vector east </span>
<span>j = unit vector north </span>

<span>V1 = 30 sin 192 i + 30 cos 192 j </span>
<span>V2 = 14 sin 112 i + 14 cos 112 j. </span>
The formula will look like this
<span>V1 + V2 = ?
Now please use the data to put the values into correct places and there you go! Hope this helps</span>
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