Two ships, A and B, leave port at the same time. Ship A travels northwest at 23 knots and ship B travels at 29 knots in a direction 38° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are (a) the magnitude (in knots) and (b) direction (measured relative to east) of the velocity of ship A relative to B? (c) After how many hours will the ships be 180 nautical miles apart? (d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180 degrees to 180 degrees.)
Two ships, A and B, leave port at the same time. Ship A travels northwest at 23 knots and ship B travels at 29 knots in a direction 38° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are (a) the magnitude (in knots) and (b) direction (measured relative to east) of the velocity of ship A relative to B? (c) After how many hours will the ships be 180 nautical miles apart? (d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180 degrees to 180 degrees.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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 23 knots and ship B travels at 29 knots in a
direction 38° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are (a) the magnitude (in knots) and
(b) direction (measured relative to east) of the velocity of ship A relative to B? (c) After how many hours will the ships be 180
nautical miles apart? (d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your
angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180
degrees to 180 degrees.)
(a) Number
(b) Number
34.74
(d) Number
10.29
(c) Number i 5.18
Units
Units (degrees)
Units
knots
Units
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c2c149f-9455-4f49-9292-1c1375ef6171%2F2bc919b9-abe1-43d0-89fc-81080a14a197%2F7lzd38_processed.png&w=3840&q=75)
Transcribed Image Text:Two ships, A and B, leave port at the same time. Ship A travels northwest at 23 knots and ship B travels at 29 knots in a
direction 38° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are (a) the magnitude (in knots) and
(b) direction (measured relative to east) of the velocity of ship A relative to B? (c) After how many hours will the ships be 180
nautical miles apart? (d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your
angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180
degrees to 180 degrees.)
(a) Number
(b) Number
34.74
(d) Number
10.29
(c) Number i 5.18
Units
Units (degrees)
Units
knots
Units
h
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