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

(a) What is the velocity of A relative to B in unit-vector notation with i toward the east?

(b) Write an expression (in terms of i and j); 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 least?

(d) What is that least separation?