How to Find the Y-Component of a Plane's Velocity with Respect to the Ground

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SUMMARY

The discussion focuses on calculating the y-component of a plane's velocity with respect to the ground, considering a wind blowing from east to west. The pilot points the plane 28.9° north of east, resulting in a ground velocity direction of 56.6° north of east, with an airspeed of 128 m/s. To solve for the y-component, users are encouraged to draw a diagram illustrating the vectors involved, including the wind's effect on the plane's trajectory.

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A wind is blowing directly from east to west. The pilot of a small plane finds that if he points the nose of the plane 28.9 ° north of east, his velocity with respect to the ground is in the direction 56.6 ° north of east. The speed of the plane with respect to the air is 128 m/s. Taking North to be the y-direction and East to be the x-direction, what is the y-component of plane's velocity with respect to the ground?

Attempt - I've tried this so many times, but I can't figure out how to properly draw the diagram for this so that it works out.
 
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scorks said:
A wind is blowing directly from east to west. The pilot of a small plane finds that if he points the nose of the plane 28.9 ° north of east, his velocity with respect to the ground is in the direction 56.6 ° north of east. The speed of the plane with respect to the air is 128 m/s. Taking North to be the y-direction and East to be the x-direction, what is the y-component of plane's velocity with respect to the ground?

Attempt - I've tried this so many times, but I can't figure out how to properly draw the diagram for this so that it works out.

Upload your drawing so far so that we can help you. You *must* show your attempt at working the problem before we can offer tutorial help. That's in the Rules link at the top of the page.
 

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