Ship A is located 4.8 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 40 km/h in a direction 37 degrees north of east.
a) What is the velocity of A relative to B? (Express your answer in terms of the unit vector I-hat and J-hat, where I-hat is 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 as above.
c) At what time is the seperation between the ships least? (In hours)
d) What is that least seperation? (In km)