how to do the problem 5.1AplaneapproachesKennedyairport forlandingfrom? milesawayfromtheairport.Thisdistanceisastraight-linedistancelinkingthiscurrentplanepositionandKennedyairport.Windblowsataconstantspeed? andatadirectionperpendiculartothestraight-line.Theplanefliesataconstantspeed?X > ? relativethewindanditmaintainsitsheadingdirectlytowardtotheairport atalltimes.Duetothewind,theplanemusttravelonacurvedtrajectorywhoselengthisbiggerthan?. Computetheextradistancetheplanehavetotravelrelativetothe“beeline”distance ? usingthegivenparameters ?, ?X, ?.Note:
Cf = Referring to… Please be advised the actual HW problem may differ from the referenced problem in the textbook but the
technique for solving the HW problem may be similar to that of the referenced problem. You may also ignore this suggestion.
AMS 361: Applied Calculus IV
Homework 5
Assignment Date:
Thursday (02/25/2016)
Collection Date:
Thursday (03/10/2016) Before 5:45pm
Email Address:
[email protected]
Grade:
Each problem is worth 10 points.
Problem 5.1 (
Cf:Sec.2.5startingonP.115,newedition)
: A plane approaches
Kennedy airport for landing from ? miles away from the airport. This distance is a
straight-line distance linking this current plane position and Kennedy airport. Wind
blows at a constant speed ± and at a direction perpendicular to the straight-line.
The plane flies at a constant speed ²
X
> ± relative the wind and it maintains its
heading directly toward to the airport at all times. Due to the wind, the plane must
travel on a curved trajectory whose length is bigger than ?. Compute the extra
distance the plane have to travel relative to the “beeline” distance ? using the given
parameters ?, ²
X
, ±.
Problem 5.2: Find the G.S. of the following DE:
³
´´
? 2³
´
? 15³ = 0
Problem 5.3: Find the G.S. of the following DE:
³
´´
? 2³
´
+ 5³ = 0
Problem 5.4: Find the G.S. of the following DE:
µ
¶
³
´´
+ 2µ³
´
? 3³ = 0
Problem 5.5 (
Cf:Problem3.3.11onP.133
): Find the G.S. of the following DE:
· ? 3
¶
· ? 2
¸
·
¶
? 4· + 5
³(µ) = 0 where · ?
¹
¹µ
This question was answered on: Sep 21, 2023
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