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Ship A is located 4.0 km north and 2.5 km east of ship B. Ship A has a velocity of 22 km/h toward the south, and ship B has a velocity of 40 km/h in a direction 37 degrees north of east.

a) what is the velocity of A relative to B in unit-vector noration with i-hat toward the east.

b) write an expression (in terms of i-hat and j-hat) for the position of A relative to B as a function of t, where t=0 when the ships are in the positions described above.

c) at what time is the separation between the ships the least?

d) what is the least separation?

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