A plane flies to city A, located at 150km in direction of 60.0 degrees on the X

Question

A plane flies to city A, located at 150km in direction of 60.0 degrees on the X axis
Then from city A to city B located at 200.0km in direction of 140 degrees on the horizontal axis towards city B
Determine the location of city B (the resultant) with respect to the point of departure

Table:
Vector / Component X / Component Y
A: B: Resultant:
A plane flies to city A, located at 150km in direction of 60.0 degrees on the X axis
Then from city A to city B located at 200.0km in direction of 140 degrees on the horizontal axis towards city B
Determine the location of city B (the resultant) with respect to the point of departure

Table:
Vector / Component X / Component Y
A: B: Resultant:

Then from city A to city B located at 200.0km in direction of 140 degrees on the horizontal axis towards city B
Determine the location of city B (the resultant) with respect to the point of departure

Table:
Vector / Component X / Component Y
A: B: Resultant:

Explanation / Answer

Resultant distance = sqrt(78,2^2+258.6^2) = 270 km

direction = tan^-1(258.6/-78.2)=106.8 degrees

vector x-component y-component A 150*cos60=75 150*sin60=130 B 200*cos140=-153.2 200*sin140=128.6 Resultant -78.2 258.6

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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