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A river that is 500 meters wide flows due west at 8 m/s. A boat leaves the southern bank of the river. The velocity vector

A river that is 500 meters wide flows due west at 8 m/s. A boat leaves the southern bank of the river. The velocity vector of the boat with respect to the ground points 60 degrees north of west. The constant speed of the boat relative to the ground is 0.642 m/s.

What is the velocity vector of the boat relative to the river? Choose east to point in the positive x direction and north to point along the positive y-axis. Give your answer in units of m/s, Cartesian coordinates (in terms of i and j) and to 2 significant figures.

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