How Does Wind Affect Airplane Navigation?

In summary, relative velocity is the measurement of an object or observer's velocity with respect to another object or observer, taking into account both speed and direction. To calculate relative velocity, the velocity of the reference point is subtracted from the velocity of the moving object. It is different from absolute velocity, which is measured with respect to a fixed reference point. In real life, relative velocity is used in various situations such as calculating the motion of airplanes, boats, and celestial bodies. There are common misconceptions about relative velocity, including the belief that it is always equal to the difference in velocities and that it is the same for both objects. In reality, relative velocity considers the direction of motion and can vary for each object depending on their frames of
  • #1
geochemist
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Homework Statement



GIVEN a plane has to complete 300 Km NorthEast in 45 min.The wind is blowing from the North at 80 Km/h .Determine the direction of heading of the plane and the velocity reqiured to complete the distance in the specified time.

Homework Equations





The Attempt at a Solution

 
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  • #2
Let v be the velocity vector of the plane. When you add v to the wind velocity vector, you get the resultant velocity. Of the latter, you know what its magnitude and direction must be.
 

Related to How Does Wind Affect Airplane Navigation?

1. What is relative velocity?

Relative velocity is the velocity of an object or observer as measured in relation to another object or observer. It takes into account both the speed and direction of motion.

2. How do you calculate relative velocity?

To calculate relative velocity, you need to subtract the velocity of the reference point from the velocity of the moving object. The resulting vector will be the relative velocity.

3. What is the difference between relative velocity and absolute velocity?

Relative velocity is the velocity measured in relation to another object or observer, while absolute velocity is the velocity measured with respect to a fixed reference point. Relative velocity takes into account the motion of both objects, while absolute velocity only measures the motion of one object.

4. How is relative velocity used in real life situations?

Relative velocity is used in many real life situations, such as calculating the speed and direction of airplanes in relation to the ground, determining the velocity of a boat in a river with a current, and predicting the motion of celestial bodies in space.

5. What are some common misconceptions about relative velocity?

One common misconception is that relative velocity is always equal to the difference in velocities of the two objects. In reality, relative velocity takes into account the directions of motion and can be significantly different from the difference in speeds. Another misconception is that relative velocity is the same for both objects, when in fact it is different for each object as it depends on their respective frames of reference.

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