Two ships, A and B, leave port at the same time. Ship A travels northwest at 21 knots and ship B travels at 30 knots in a direction 35° 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 130 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 i Units (b) Number i Units (c) Number Units (d) Number i Units

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Chapter1: Functions And Models
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Two ships, A and B, leave port at the same time. Ship A travels northwest at 21 knots and ship B travels at 30 knots in a direction 35°
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 130 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
i
Units
(b) Number
i
Units
(c) Number
Units
(d) Number i
Units
Transcribed Image Text:Two ships, A and B, leave port at the same time. Ship A travels northwest at 21 knots and ship B travels at 30 knots in a direction 35° 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 130 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 i Units (b) Number i Units (c) Number Units (d) Number i Units
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