A boat crossing a wide river moves with a speed of 10 km/h relative to water. The water in the river has a uniform speed of 5.00 km/h due east relative to the Earth.
1) If the boat heads due north to the Earth, determine the velocity of the boat relative to an observer standing on either bank.
2) If the boat travels with the same speed of 10.0 km/h relative to the river and is to travel due north to the river, what should be its heading be?