The bireme was an ancient ship used by the Phoenicians and other peoples associated with the Mediterranean world. The velocity of a particular bireme is the resultant of 3 velocities: The velocity created by the movement of its oars in still water, which is 4 km/h N 300 E. The velocity created by the wind hitting the sail in still water at 10 km/h N 170 W. The ship is also experiencing a 2 km/h current flowing due East.

a. What is the resultant velocity of the ship (including direction)?

b. Assuming the ship is heading directly for a port 150 km away, and assuming the wind, current and rowers maintain constant speed, how long will it take to reach its destination?