A river flows due east at 1.5 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.0 m/s due north relative to the water.
a. What is the velocity of the boat as viewed by an observer on shore?
b. If the river is 325 m wide, how far downstream is the boat when it reaches the north shore?
The pilot of an aircraft wishes to fly due west in a 50.0 km/hr wind blowing toward the south. The speed of the aircraft in the absence of the wind is 205 km/hr.
a. In what direction should the aircraft head?
b. What should its speed relative to the ground be?
A hunter wishes to cross a river that is 1.5 km wide and that flows with a speed of 5.0 km/hr. The hunter uses a small powerboat that moves at a maximum speed of 12 km/hr with respect to the water. What is the minimum time necessary for crossing?