A boat crossing a wide river moves with a speed of 10 km/hr relative to the water that is flowing at a uniform speed of 5 km/hr due east relative to the Earth.
a) If the boat heads due north, determine the velocity of the boat relative to an observer standing on either bank.
b) If the boat travels with the same speed of 10 km/hr relative to the water and is to travel due north, what angle should its heading be at?
