Two ships, A and B, leave port at the same time. Ship A travels northwest at 24 knots, and ship B travels at 28 knots in a direction 40° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are the (a) magnitude and (b) direction of the velocity of ship A relative to B? (c) After what time will the ships be 160 nautical miles apart? (d) What will be the bearing of B (the direction of B’s position) relative to A at that time?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Two ships, A and B, leave port at the same time.
Ship A travels northwest at 24 knots, and ship B travels at 28 knots
in a direction 40° west of south. (1 knot = 1 nautical mile per hour;
see Appendix D.) What are the (a) magnitude and (b) direction of
the velocity of ship A relative to B? (c) After what time will the
ships be 160 nautical miles apart? (d) What will be the bearing of B
(the direction of B’s position) relative to A at that time?

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