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11-08-2016
Physics

Answered

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?

Verified Answer :

11-08-2016

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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