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Velocity Vector

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A contestant on "Survivor" is challenged to find buried treasure in a featureless desert. All the contestant knows is that she was driven away blindfolded from the treasure's location for 13 minutes with an average velocity vector having components 8.3 m/s west and 5.9 m/s north, then given a compass. She can run at a speed of 4.7m/s .

1. In what direction should she head in order to retrieve the treasure?
Express your answer using two significant figures.

2. For how long should she run in order to retrieve the treasure?

Please show how to reach correct solution.

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This posting contains the solution to the given vector problems.

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