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° north of east.
(a) what is the velocity of a relative to b in unit-vector notation with ˆi toward the east?
(b) write an expression (in terms of ˆi and ˆj) 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?