Concept explainers
(a)
Find the time required to complete the trip if the jetliner is experiencing a headwind.
(a)
Answer to Problem 55PQ
The time required to complete the trip if the jetliner is experiencing a headwind is
Explanation of Solution
The jetliner is travelling through the air and the air can move relative to ground. The jetliner displacement to the south is
Write the equation for the velocity of airplane relative to ground.
Here,
Write the equation for time interval.
Here,
Conclusion:
Substitute
Substitute
Therefore, the time required to complete the trip if the jetliner is experiencing a headwind is
(b)
Find the time required to complete the trip if the jetliner is experiencing a tailwind.
(b)
Answer to Problem 55PQ
The time required to complete the trip if the jetliner is experiencing a tailwind is
Explanation of Solution
The wind is blowing at south with speed of
Write the equation for the velocity of airplane relative to ground.
Conclusion:
Substitute
Substitute
Therefore, the time required to complete the trip if the jetliner is experiencing a tailwind is
(c)
Find the time required to complete the trip if the jetliner is experiencing a crosswind.
(c)
Answer to Problem 55PQ
The time required to complete the trip if the jetliner is experiencing a crosswind is
Explanation of Solution
The wind is blowing at west with speed of
If the airplane heads with an angle
There is no north south component in the velocity of wind, the south component of airplane velocity is equal to its velocity relative to ground.
Then,
Conclusion:
Substitute
Therefore, the time required to complete the trip if the jetliner is experiencing a crosswind is
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Chapter 4 Solutions
Physics For Scientists And Engineers: Foundations And Connections, Advance Edition, Volume 1
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