Aship sets sail from rotterdam, the netherlands, heading due north at 7.00 m/s relative to the water. the local ocean current is 1.50 m/s in a direction 40.0º north of east. what is the magnitude of the velocity of the ship relative to the earth (in m/s)? answer

Velocity of ship relative to the water is given as

North

velocity of water is given as

in direction 40 degree North of East

now the resultant speed with respect to earth is given as

now the resultant magnitude is given as

here angle between relative speed and water speed is 50 degree

now in order to find its direction we have

so it will move with speed 8.05 m/s in the direction 8.2 degree East of North