A plane has a speed of 550 km/h west relative to the air. A wind blows 35 km/h east relative to the ground. What is the plane's speed and direction relative to the ground?

A motorboat heads due west at 18 m/s relative to a river that flows due north at 4.0 m/s. What is the velocity (both magnitude and direction) of the motorboat relative to the shore?

Martin is riding on a ferry boat that is traveling west at 3.2 m/s. He walks south across the deck of the boat at 0.54 m/s. What is Martin's velocity relative to the water?

An airplane flies due east at 440 km/h relative to the air. There is a wind blowing at 65 km/h to the southwest relative to the ground. What are the plane's speed and direction relative to the ground?