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An airplane which flies at 920 km/hr is trying to head exactly North East from the Democratic Republic of Congo to Ethiopia. Unfortunately, somewhere over Kenya th wind in the jet stream begins to blow 140 km/hour exactly toward the North West. A) What heading must the pilot take to continue traveling directly toward the original destination? B) At what relative speed will the plane fly toward Ethiopia while compensating for the wind? (Feel free to answer in either km/hr or m/sec.) 00 KA

An airplane which flies at 920 km/hr is trying to head exactly North East from the Democratic Republic of Congo to Ethiopia. Unfortunately, somewhere over Kenya th wind in the jet stream begins to blow 140 km/hour exactly toward the North West. A) What heading must the pilot take to continue traveling directly toward the original destination? B) At what relative speed will the plane fly toward Ethiopia while compensating for the wind? (Feel free to answer in either km/hr or m/sec.) 00 KA

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Problem Description:** An airplane which flies at 920 km/hr is trying to head exactly North East from the Democratic Republic of Congo to Ethiopia. Unfortunately, somewhere over Kenya the wind in the jet stream begins to blow 140 km/hour exactly toward the North West. **Questions:** A) What heading must the pilot take to continue traveling directly toward the original destination? B) At what relative speed will the plane fly toward Ethiopia while compensating for the wind? (Feel free to answer in either km/hr or m/sec.)
Transcribed Image Text:**Problem Description:** An airplane which flies at 920 km/hr is trying to head exactly North East from the Democratic Republic of Congo to Ethiopia. Unfortunately, somewhere over Kenya the wind in the jet stream begins to blow 140 km/hour exactly toward the North West. **Questions:** A) What heading must the pilot take to continue traveling directly toward the original destination? B) At what relative speed will the plane fly toward Ethiopia while compensating for the wind? (Feel free to answer in either km/hr or m/sec.)
Expert Solution
Step 1

Given:

Velocity of airplane along North east direction, vA→=920 km/h

Velocity of air in the jet along North west direction, vB→=140 km/h

Find:

(A) What heading must pilot take to continue traveling directly toward original destination.

(B) At what relative speed will plane fly toward Ethiopia while compensating for the wind.

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