Two ships A & B are moving at constant velocities. At t=0 the position of ship A is 2.41 miles east and 3.14 miles north of ship B. Ship A has a velocity of 36.2 mph and is headed south. Ship B has a velocity of 17.9 mph and is at an angle of 40 degrees north of east. (a)Determine the relative velocity, V_B/A, of B with respect to A. (b)Determine r_B/A(t), the relative position of B with respect to A as a function of time. (c)Determine the distance between A and B after 3 minutes. (d) Determine the minimum distance between the ships and the time when this occurs.