Ship A is located 4.0 km north and 2.6 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° north of east.
(a) What is the velocity of A relative to B (Express your answer in terms of the unit vectors ihat and jhat, where ihat is toward the east.)
(b) Write an expression (in terms of ihat and jhat) for the position of A relative to B as a function of t, where t = 0 when the ships are in the positions described as above.
(c) At what time is the separation between the ships least?
(d) What is that least separation?