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 10 m/s due north relative to the water.(a) What is the velocity of the boat relative to the shore?(b) If the river is 300 m wide, how far downstream has the boat moved by the time it reaches the north shore?

a

b

Explanation:

From the question we are told that    

        The velocity of the river due east is  

        The velocity of the boat due north is  

         The width of the river is  

Generally the velocity of the boat relative to the shore

=>        

=>        

Generally direction of the boat relative to the shore is mathematically represented as

=>        

=>        

=>        

Generally the distance covered by the boat in the direction of flow of the river before reaching the north shore is mathematically represented as

=>          

=>                  

true tan speed = ang vel x radius

reserve is the answer