You are underway on course 050°T and your...

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Question 1 of 2066636ee928f7522a1c51a4c5

You are underway on course 050°T and your maximum speed is 10 knots. The eye of a hurricane bears 100°T, 90 miles from your position. The hurricane is moving towards 285°T at 19 knots. If you maneuver at 10 knots to avoid the hurricane, what could be the maximum CPA?

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🔍 Key Concepts

• Relative motion between your vessel and the hurricane’s center • Vector triangles: combining your ship’s motion and the storm’s motion • Closest Point of Approach (CPA) in terms of relative track distance

💭 Think About

• How do you construct a relative motion diagram showing both your course/speed and the hurricane’s course/speed from the same origin? • In what direction should you place your 10‑knot vector to maximize the perpendicular distance between your track and the hurricane’s track? • Once you have the relative velocity vector, how do you find the minimum distance between the starting line of centers and the relative track?

✅ Before You Answer

• Make sure you convert all speeds to the same units (knots) and keep distances in nautical miles • Carefully plot or calculate the relative velocity of the hurricane with respect to your vessel • Check that your computed CPA distance is close to one of the answer choices and that the time to CPA is positive (future, not past)

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