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

Question

Jaqueline Stout

Physics

10 July, 14:35

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)

Know the Answer?

Matthias Humphrey · Answer 1

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.

Reuben · Answer 2

The answer to your question is E.