My Notes Ask Your Teach (a) A jet airplane flying from Darwin, Australia, has an

Question

My Notes Ask Your Teach (a) A jet airplane flying from Darwin, Australia, has an air speed of 263 which is blowing at 36.0 m/s in a direction 15° south of east. What is the velocity of the airplane relative to the Earth? (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude direction m/s in a direction 5.0° south of west. It is in the jet stream, m/s o south of west (b) Discuss whether your answers are consistent with your expectations for the effect of the wind on the plane's path.

Explanation / Answer

velocity of jet airplane = 263 m/s

direction = 5o South of west

vectorially, velocity of airplane = -263cos5i-263sin5j = -262i-22.92j m/s

velocity of jet stream = 36 m/s

direction of jet stream = 15o South of East

vectorially, velocity of jet stream = 36cos15i-36sin15j=34.77i-9.32j m/s

velocity of airplane relative to Earth = (-262+34.77) i +(-22.92+9.32)j=-227.23i-13.6j m/s

magnitude of velocity = sqrt(227.232+13.62)=227.64 m/s

direction of velocity = tan-1(13.6/227.23)=3.42o South of West

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.