Q. A light plane is headed due south with a speed of 159 relative to still air. After 1.09 hour, the pilot notices that they have covered only 125 and their direction is not south but southeast (45.0). What is the wind velocity (magnitude)? And what is the wind velocity (direction)?
Q. A river flows due east at 1.50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 15.0 m/s due north relative to the water.
(a) What is the velocity of the boat relative to shore?
(b) If the river is 370 m wide, how far downstream has the boat moved by the time it reaches the north shore?