Magnitude =57.98km/h , need direction please! A glider aircraft initially travel

Question

Magnitude =57.98km/h , need direction please!

A glider aircraft initially traveling due west at 77.0 km/h encounters a sudden gust of wind at 33.0 km/h directed toward the northeast (see the figure below). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.) magnitude _____ km/h direction _____ degree north of west

Explanation / Answer

Vinitial=-77i

Vfinal=33cos45i+33sin45j=23.33i+23.33j

V=-77i+23.33i+23.33j=-53.67i +23.33j

magnitude

|V|=sqrt[(-53.67)2+23.332]=58.5 km/h

direction

o=tan-1(23.33/-53.67)=-23.5o

23.5o north 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.