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

In summary, there is a wind blowing from east to west and a small plane is flying with a velocity of 128 m/s with respect to the air. The pilot has pointed the nose of the plane 28.9 ° north of east and the velocity of the plane with respect to the ground is in the direction 56.6 ° north of east. The problem requires determining the y-component of the plane's velocity with respect to the ground, but without a proper diagram it is difficult to solve. The user has attempted to draw a diagram but is still struggling to find the correct solution.
  • #1
scorks
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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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  • #2
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.
 

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

What is a physics plane problem?

A physics plane problem is a type of physics problem that involves the motion of an object, such as a plane, in a two-dimensional plane. These problems typically require the use of equations and principles from classical mechanics to solve.

What are the key principles involved in solving a physics plane problem?

The key principles involved in solving a physics plane problem include Newton's laws of motion, conservation of energy and momentum, and trigonometry. These principles help to describe and analyze the motion and forces acting on the object in the problem.

How do you approach solving a physics plane problem?

To solve a physics plane problem, it is important to first identify and understand the given information, such as the initial and final positions of the object, its mass, and any external forces acting on it. Then, apply the relevant equations and principles to determine the unknown quantities, such as velocity or acceleration.

What are some common mistakes to avoid when solving a physics plane problem?

Some common mistakes to avoid when solving a physics plane problem include using incorrect equations or principles, not properly considering the direction and sign of vectors, and not carefully interpreting the given information. It is also important to double-check calculations and units to avoid errors.

How can understanding physics plane problems be helpful in real life?

Understanding physics plane problems can be helpful in real life by providing a better understanding of the motion and forces involved in everyday situations, such as driving a car or throwing a ball. It also helps to develop critical thinking and problem-solving skills that can be applied in various fields, including engineering, architecture, and sports.

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