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August 27, 2014

August 27, 2014

Posted by **Anonymous** on Sunday, March 2, 2008 at 12:14pm.

A pilot must fly his plane to a town which is 200km from his starting point in a direction 30degrees N of E. He must make the trip in 1/2 h. An 80km/h wind blows in a direction 30degrees E of S. Find the speed of the plane relative to ground, the speed relative to air and the heading of the plane.

- Physics -
**bobpursley**, Sunday, March 2, 2008 at 12:37pmThe resultant is the velocityi to the town: 200km/.5hr or 400@60 degrees (Notice I measure angles from N, clockwise). The wind is from the origin, 80@150. Then, the planes heading must be from the tip of the wind vector to the end of the resultant. The speed of the plane relative to air is its length. The heading is its direction.

Windvelocity+Planeveloctyrelativeair=plane velocity relative to ground.

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