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?

Two ships, A and B, leave port at the same time. Ship A travels northw

1.	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?
Answer» Solution :(a) 38.4 knotes, (B) `1.5^(@)` EAST of north, ( C) 4.2 h, (d) 1.5 WEST of DUE south

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