Sailing East: Finding Ship's Ground Velocity

[ashvinthecha]

Homework Statement

A ships captain wants to sail east. His ship experiences a current of 5.0 km/h [N]. The ships engine can produce a speed of 20 km/h. What must the ships heading be and what is the ground velocity of the ship.

I really don't know what to do I was hoping someone can tell me how to solve it using x/y components and I can use this example to solve the other question I have.

 

[ehild]

Have you tried to swim in a river and stay at the same place relative to the ground?

What should be the velocity of the ship with respect to the water if the captain wants to keep it at the same place with respect to the ground?

ehild

 

[Sybren]

easiest to solve using vectors (direction and magnitude).