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24 January, 02:39

A motor boat is headed at a velocity of 25 kilometers/hour toward the north, while the velocity of the water current is 12 kilometers/hour to the west. What is the magnitude of the boat's resultant velocity?

A. 37.7 kilometers/hour

B. 13.5 kilometers/hour

C. 12.5 kilometers/hour

D. 25.0 kilometers/hour

E. 27.7 kilometers/hour

+3
Answers (2)
  1. 24 January, 05:54
    0
    To determine the magnitude of the boat's resultant velocity, we use the Pythagorean theorem. That is,

    v = sqrt (x² + y²)

    Substituting,

    v = sqrt (25² + 12²) = 27.73 kilometers/hour

    Thus, the answer is letter E.
  2. 24 January, 05:57
    0
    The answer to your question is E.
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Home » Physics » A motor boat is headed at a velocity of 25 kilometers/hour toward the north, while the velocity of the water current is 12 kilometers/hour to the west. What is the magnitude of the boat's resultant velocity? A. 37.7 kilometers/hour B. 13.
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