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13 December, 06:59

A boat travels north across a river at a velocity of 22 meters/second with respect to the water. The river's velocity is 2.2 meters/second to the east. What is the resultant velocity of the boat, as measured from the land?

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  1. 13 December, 07:15
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    The magnitude of the resultant is

    √ (22² + 2.2²) = √ (484 + 4.84) = √488.84 = 22.11 m/s.

    The direction of the resultant is

    tan⁻¹ (22N / 2.2E) = tan⁻¹ (10) = 5.71° east of north.
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