True speed and direction.

In summary, an airplane traveling at 300 miles per hour from point A (0,0) to point C (0,500) will experience a 40 mile per hour crosswind in the direction N30E from point A to point B and then a 40 mile per hour crosswind in the direction N30W from point B to point C. The question asks for the time it will take the plane to reach point C and the direction it must head in, taking into account the true speed and direction of the airplane. The diagram provided shows the points and angles involved in the problem.
  • #1
510betty
2
0
I hope my question is clear. I understand it might be kind of complex.

( x and y coordinates are in miles)
Point A departure (0,0)
Point B (?, 300)
Point C destination (0,500)

An airplane will head due north at 300mi/h to a destination 500 miles away. From point A to point B, the plane will experience a 40 mi/h crosswind flowing in the direction N 30° E. Then from point B to point C, the plane will experience a 40 mi/h crosswind flowing in the direction N 30° W .How long will it take the plane to to go from point A to point C and what direction must it head in ? (find the true speed and direction of the airplane)

( in an attempt to clarify the question, basically) The airplane flies to point B under the influence of a wind in the direction N30E. The wind then changes to N30W, and the airplane flies under its new influence in flying from point B to point C (0, 500).

any advice is greatly appreciated
 
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  • #2
this is a graph of what I am reffering to. I changed the names points, sorry. The question mark is suppose to be point (?,500). I thought about trying to solve the green triangles to give me the points and the angles.
sc0018d016.jpg
 

1. What is true speed and direction?

True speed and direction refers to the actual velocity and heading of an object or system, as opposed to the apparent or perceived speed and direction.

2. How is true speed and direction different from apparent speed and direction?

Apparent speed and direction are based on the observer's perspective and may be affected by external factors such as wind or other forces. True speed and direction, on the other hand, are based on the object's actual motion and are independent of external factors.

3. How is true speed and direction measured?

True speed and direction can be measured using various tools and techniques, depending on the specific object or system being studied. For example, aircraft may use airspeed indicators and gyroscopic instruments to determine true speed and direction.

4. Why is it important to know the true speed and direction of an object?

Knowing the true speed and direction of an object is crucial for accurate navigation, control, and prediction of its movement. It also allows for better analysis and understanding of the object's behavior and performance.

5. Can true speed and direction change over time?

Yes, true speed and direction can change over time due to various factors such as external forces, changes in the object's environment, and internal changes within the object itself. It is important to continuously monitor and adjust for these changes to maintain accuracy in measuring true speed and direction.

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