A plane is flying southeast at 215 km/h. Suddenly there is a wind from the north at 75 km/h. What is the plane's new velocity with respect to the ground in standard position?
closed as off topic by Mark Eichenlaub, dmckee♦ Jan 30 '12 at 18:22
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You can easily add the vectors. Add component-wise in the north-south and west-east directions. Be careful for minus-signs. The velocity with respect to the ground will be the magnitude of the resulting vector.