Sailing East: Finding Ship's Ground Velocity

AI Thread Summary
To determine the ship's heading and ground velocity while sailing east against a northward current of 5.0 km/h, vector analysis is essential. The ship's engine can produce a speed of 20 km/h, so the captain must calculate the necessary angle to counteract the current. By breaking down the velocities into x (east) and y (north) components, the required heading can be found. The resulting ground velocity of the ship will be the vector sum of its speed and the current. Understanding this vector relationship is crucial for navigating effectively in such conditions.
ashvinthecha
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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.
 
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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
 
easiest to solve using vectors (direction and magnitude).
 
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