You are enroute to assist vessel A. Vessel A...

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Question 1 of 2066636ee928f7522a1c51967b

You are enroute to assist vessel A. Vessel A is underway at 5.5 knots on course 033°T, and bears 284°T at 43 miles from you. What is the course to steer and running time at 16 knots to intercept vessel A?

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Question 1 of 20

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🔍 Key Concepts

• Relative motion between two moving vessels: one at 5.5 knots, the other at 16 knots • Vector triangle: target’s track, your track, and line of relative motion to the intercept point • Using time = distance / speed to check if both vessels reach the intercept point at the same time

💭 Think About

• First, sketch the situation: plot your position, then plot vessel A at 43 miles on bearing 284°T, then draw vessel A’s course 033°T from that point. Where would your course line need to point to meet that track? • Think about relative speed along the line between you and the intercept point: how do you combine your 16 knots and vessel A’s 5.5 knots so that both arrive at the same time? • After you pick a candidate course, use the distances along each vessel’s track to compute travel times and see if they match.

✅ Before You Answer

• Make sure you are measuring course to steer from your position to the intercept point, not from vessel A • Check that your chosen course is toward the general direction of vessel A’s bearing (around 284°T) and not away from it • Verify that the time you compute at 16 knots matches the time for vessel A at 5.5 knots to reach the same intercept point along her track

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