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

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Question 1 of 2066636ee928f7522a1c51966d

You are enroute to assist vessel A. Vessel A is underway at 4.5 knots on course 233°T, and bears 264°T at 68 miles from you. What is the course to steer and running time at 13 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 4.5 knots, one at 13 knots) • Using a vector triangle or plot: your course and speed vs vessel A’s course and speed • Computing intercept course and time to intercept given bearing, distance, and speeds

💭 Think About

• First, sketch the situation to scale: from your position, plot vessel A on the given bearing at 68 miles. Then plot vessel A’s course and speed from that point. What does that look like? • Think about how to construct your own velocity vector so that you meet vessel A at a point on her track. How must your velocity vector relate to vessel A’s velocity vector? • Once you find the relative speed along the line of sight at interception, how do you compute the running time from the initial 68-mile separation?

✅ Before You Answer

• Make sure you use true courses and bearings (all are given as true) and that you plot the bearing from your position to vessel A’s position correctly • Check that you are using both speeds (4.5 knots for vessel A and 13 knots for your vessel) in your vector triangle, not just one of them • After you get a candidate solution, verify that: (1) your course is one of the answer choices and (2) distance run at 13 knots divided by 13 matches the running time choice to within a few minutes

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