Relative velocity of a plane question

AI Thread Summary
To calculate the velocity the pilot must maintain to reach her destination with a 25 m/s wind from the west, the initial velocity of the plane is 150 m/s at a bearing of N35E. The participant determined the east-west component of the plane's velocity to be 122 m/s east. By drawing a vector triangle and applying the cosine law, they found the resultant ground velocity to be 165.6 m/s at an angle of N42E. This method effectively combines the aircraft's velocity and wind speed to ensure timely arrival. The discussion emphasizes the importance of vector analysis in solving relative velocity problems.
mousemouse123
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an aircraft must fly at a velocity of 150m/s[n35e] if there were no wind to reach its destination. a wind from the west of 25m/s is present for the whole flight. calculate the velocity the pilot must maintain to reach her destination in time. i started by finding the velocity of the plane in the east west dimenson. and got 122m/s [e] would i just add this number to 25 to get the right answer?
 
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hi mousemouse123! :smile:

you need to draw a vector triangle …

what does it look like? :wink:​
 
tiny-tim said:
hi mousemouse123! :smile:

you need to draw a vector triangle …

what does it look like? :wink:​


gee thanks... i drew a vector triangle already... that's how i got the velocity in the east west direction...
 
I found that the velocity of the plane to the ground was 165.6m/s (N42E).
I did this using the vector diagram then the cosine law to find the velocity of the plane to the ground, then the sine law to find the angle it travels. :smile:
 

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