Book Solving Complex Math Problems

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SUMMARY

The discussion revolves around solving complex math problems presented in a book, specifically focusing on a flight scenario involving wind effects on travel time. The problem states that an airliner makes a 5550-km roundtrip flight between City A and City B in 6.60 hours without wind. When a steady wind from west to east is introduced, the roundtrip time increases to 6.7 hours. The solution reveals that the wind speed is 98 m/s, derived from the equations involving travel time and distance.

PREREQUISITES
  • Understanding of basic algebra and equations of motion.
  • Familiarity with the concepts of speed, distance, and time.
  • Knowledge of how wind affects flight dynamics.
  • Ability to manipulate and solve linear equations.
NEXT STEPS
  • Study the principles of relative motion in physics.
  • Learn how to apply the formula for speed, distance, and time in complex scenarios.
  • Explore advanced algebra techniques for solving equations with multiple variables.
  • Investigate the effects of wind on aircraft performance and flight planning.
USEFUL FOR

Students, educators, and professionals in aviation, physics, and mathematics who are looking to enhance their problem-solving skills in complex scenarios involving motion and external factors.

leprofece
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View attachment 2703

Book Solution

View attachment 2704

in this problem Part 1 I got it
Part 2 Tab +Tba = 6,7 seg
Where does it comes from??
the third one (804,5 +vw )Tba = 2655
but it got 98,1
then time must be 2,4 seg
How do I get It?
 

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MODIFIED

354. City A lies directly west of city B. When there is no wind, an airliner makes the 5550-km roundtrip flight between them in 6,60 h of fl?
of flying time while traveling at to same speed In both directions. When a strong. steady wind is blowing from west to east and the airliner has the same airspeed as before, round trip takes 6,7 h at what speed does the wind blow?

Answer 98 m/seg
 

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