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The direction that a weathervane mounted on top of a car points is influenced both by the wind and car’s velocity. When the car is driving due north with a speed of 50km/hr, the weathervane indicates...

The direction that a weathervane mounted on top of a car points is influenced both by the wind and car’s velocity. When the car is driving due north with a speed of 50km/hr, the weathervane indicates that the wind is coming from the west. When the car doubles its speed, the weathervane now indicates that the wind is coming from the northwest. Determine the direction of the wind (when the car is idle) and its speed.

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