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?

Explanation

(a) 38.4 knotes, (b) `1.5^(@)` east of north, ( c) 4.2 h, (d) 1.5 west of due south