Newbie helps, relative velocity

AI Thread Summary
To determine the direction the airplane should head to land due north, the relative velocity of the plane and wind must be analyzed. The wind's velocity vector, blowing at 100 km/h at 30° north of east, needs to be accounted for in the plane's heading. The solution involves calculating the necessary angle west of north for the plane to counteract the wind's effect. Additionally, the speed of the plane with respect to the ground can be calculated using vector addition. The discussion emphasizes the importance of understanding relative motion in aviation scenarios.
BrennMan
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Homework Statement


An airplane has a speed of 280 km/h with respect to the air. There is a wind blowing at 100 km/h at 30° north of east with respect to Earth. In which direction should the plane head in order to land at an airport due north of its present location?


Homework Equations



Q1: ?° west of north

Q2: What would be the plane's speed with respect to the ground?

The Attempt at a Solution



I appreciate the help, very much.
 
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