Yahoo Answers: Answers and Comments for Determine the speed of an airplane? [Mathematics]
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From Ratchet Hoe
enCA
Thu, 15 Nov 2012 18:37:26 +0000
3
Yahoo Answers: Answers and Comments for Determine the speed of an airplane? [Mathematics]
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From chenier: i'm no longer certain what you recommend t...
https://ca.answers.yahoo.com/question/index?qid=20121115183726AAauSfc
https://ca.answers.yahoo.com/question/index?qid=20121115183726AAauSfc
Mon, 24 Oct 2016 16:05:34 +0000
i'm no longer certain what you recommend through S seventy 8 E. Is that seventy 8 ranges east of south or seventy 8 ranges south of east? i will assume the former. If i have made the incorrect assumption, this may nonetheless inform you a thanks to figure it out. First, wreck each and each and every route right into a cardinal ingredient utilizing trigonometry. Then upload those to locate the route of the resultant vector. Use the Pythagorean theorem to locate the importance of the vector. 480 mph seventy 8 ranges east of south 480 * sin(seventy 8) = 469.fifty one mph east 480 * cos(seventy 8) = ninety 9.80 mph south fifty 8 mph 40 5 ranges west of south fifty 8 * sin(40 5) = 40one.01 mph west fifty 8 * cos(40 5) = 40one.01 mph south upload the souths and subtract the west from the east and also you get. 469.fifty one mph east  40one.01 mph west = 428.50 mph east ninety 9.80 mph south + 40one.01 mph south = 100 and forty.80 one mph south The importance of the vector is sqrt(428.50^2 + 100 and forty.80 one^2) = 451.04 mph The heading is arctan(428.50/100 and forty.80 one) = seventy one.80 one ranges east of south

From Michael M: Let v = speed of wind
speed of plane on the...
https://ca.answers.yahoo.com/question/index?qid=20121115183726AAauSfc
https://ca.answers.yahoo.com/question/index?qid=20121115183726AAauSfc
Fri, 16 Nov 2012 10:49:21 +0000
Let v = speed of wind
speed of plane on the first part of the trip = 600 + v
speed of plane on the return trip = 600  v
time for the first part of the trip = distance/speed = 990/( 600 + v)
time for the second part of the trip = 990 / (600  v)
total time for the round trip is
990/( 600 + v) + 990 / (600  v)
but this has to equal 3 hrs 20 min = 3 1/3 hrs = 10/3 hrs
990/( 600 + v) + 990 / (600  v) = 10/3
99/( 600 + v) + 99 / (600  v) = 1/3
1/( 600 + v) + 1 / (600  v) = 1/ [ (99)(3) ]
(600  v)/ {(600+v)(600  v)} + (600 +v) / {(600 +v)(600  v} = 1/297
1200/ { ( 600 + v)(600  v) } = 1/297
(600 + v)( 600  v) / 1200 = 297
(600 + v) ( 600 v) = (297)(1200)
600^2  v^2 = 356400
v^2 = 600^2  356400 = 3600
v = 60 km/hr