Calculating Aircraft Displacement & Velocity

In summary, a radar station detects an aircraft at 1200ft, moving east to west at an angle of 40 degrees. 12 seconds later, the plane is 2080ft from the station and has advanced 123 degrees. The displacement of the plane is -3386ft and its average velocity is -17 ft/s (due west). The angle of the plane's path is not specified in the question.
  • #1
High_Voltage
11
0

Homework Statement



A radar station detects an aircraft (moving east to west) at 1200ft at 40degrees. 12 seconds later the plane is 2080 ft from the station and has advanced 123degrees find

His displacement

His average Velocity

Homework Equations



Dx=dx1 + dx2
Dy=dy1 + dy2

The Attempt at a Solution



Dx1=919ft Dy1=771ft

Dx2=2467ft Dy2=754ft

-3386 -17 (NEGATIVE IS THE NEGATIVE DIRECTION ON THE AXIS)

(3386^2)+(17^2)= 3386.04-(RESULTANT)

How can I find the angle please.
 
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  • #2
I'm not sure which angle you want to find. You are given the angles in the question.
The plane is moving east to west so it's displacement is due west of its original position.
Could you be more specific?
Also, have you checked your answer? Is it correct?
 
  • #3
High_Voltage said:
A radar station detects an aircraft (moving east to west) at 1200ft at 40degrees. 12 seconds later the plane is 2080 ft from the station and has advanced 123degrees ...

Is the plane flying due west (180 degrees)?

What does the statement "at 40 degrees" refer to? It isn't clear, as stated. I assume it is the angle of inclination of the plane's path since it is 880 ft higher 12 seconds later.

But then, what does the statement that it "has advanced 123 degrees" mean?This is a very unclear/poorly posed question.
 
Last edited:

Related to Calculating Aircraft Displacement & Velocity

1. What is aircraft displacement?

Aircraft displacement is the distance between the starting and ending points of an aircraft's flight. It is measured in either feet or meters, depending on the unit system being used.

2. How is aircraft displacement calculated?

Aircraft displacement is calculated by subtracting the initial position of the aircraft from its final position. This can be determined using GPS coordinates or by measuring the distance traveled on a map.

3. What factors affect aircraft displacement?

The main factors that affect aircraft displacement include wind speed and direction, altitude, and temperature. These factors can impact the aircraft's speed and direction, resulting in a change in displacement.

4. What is aircraft velocity?

Aircraft velocity is the speed and direction at which an aircraft is traveling. It is typically measured in miles per hour or kilometers per hour and can be calculated by dividing the distance traveled by the time it took to travel that distance.

5. How is aircraft velocity calculated?

Aircraft velocity can be calculated using the formula v = d/t, where v is velocity, d is distance, and t is time. This formula can be used for both horizontal and vertical velocity calculations.

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