Determine the displacement for a boat that travels 12 mi northeast and 18 mi north.
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Determine the displacement for a boat that travels 12 mi northeast and 18 mi north.

[From: ] [author: ] [Date: 12-03-05] [Hit: ]
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The choices are as follows:
a) 30 mi 45 degrees north of east
b) 25 mi 45 degrees north of east
c) 15 mi 73 degrees north of east
d) 28 mi 73 degrees north of east

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D, By using the tip to tail method we can find the resultant vector (displacement). it has to be greater than 45 since NE is a straight 45 degrees but then we head up north another 18 miles, making it C or D. From there we know that the hypotenuse (resultant vector) will be longer than either side of the triangle making the final answer D.
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