How to Calculate Time and Distance for a Plane Flying with Wind and Vectors

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SUMMARY

The discussion focuses on calculating the time and distance for a plane flying west while being affected by a northward wind. The plane travels 283 km west at a speed of 843 km/h, while the wind blows at 56 km/h to the north. The time required to reach the western position is calculated to be 0.336 hours using the formula time = distance/speed. Further calculations are needed to determine the northward displacement and the actual distance flown, which involves applying the Pythagorean theorem.

PREREQUISITES
  • Understanding of vector components and their interactions
  • Familiarity with the Pythagorean theorem
  • Knowledge of basic physics concepts related to motion
  • Ability to manipulate equations involving speed, distance, and time
NEXT STEPS
  • Learn how to apply the Pythagorean theorem in vector problems
  • Study the concept of relative velocity in physics
  • Explore wind vector calculations in aviation
  • Investigate the effects of wind on flight paths and navigation
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Students studying physics, particularly those focusing on motion and vectors, as well as anyone interested in aviation dynamics and navigation calculations.

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Homework Statement


"A plane flies north a distance of 283 km to the west. There is a wind blowing to the north at 56km/h. The plane's speed is 843 km/h. How much time is needed to get to the western position? How far north or south will the plane be from the original position? What is the actual distance the plane flew? What is the actual speed of the plane?"


Homework Equations


The only equation given to us thus far relating to vectors is the Pythagorean theorem : a2+b2=c2


The Attempt at a Solution


The only part of this question I was able to answer was the first part about the time. I used speed=distance/time to get time=0.336 hours. I don't even know where to start for the rest of this problem. I'm desperately in need of help.
 
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A plane flies north a distance of 283 km to the west.

I think whoever wrote this question has a variant of English unknown to most of us.
 
Well it was my Physics teacher...and he's quite American so...I don't know why he wrote it oddly.
 

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