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Relative Velocity

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An airplane flies due west at 185 km/h with respect to the air. There is a wind blowing at 85 km/h to the northeast relative to the ground. What is the plane's speed with respect to the ground? The book's answer is 140 km/h. But it does not show how it arrived at that answer. Do you know?

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Solution Summary

This solution calculates the relative velocity of an airplane to the ground.

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See Word attachment for solution.

First you need to break the wind speed into its two components (x and y).
The x (east) component is equal ...

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