Babynini
  • Babynini
Airplanes and vertex
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Babynini
  • Babynini
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Babynini
  • Babynini
@perl
Babynini
  • Babynini
@freckles

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Babynini
  • Babynini
@gaos :)
ganeshie8
  • ganeshie8
velocity of jet is 775 mi/h in NE direction : |dw:1433303568557:dw|
ganeshie8
  • ganeshie8
can you split it as horizontal and vertical components ?
Babynini
  • Babynini
em nah i'm not sure.
Babynini
  • Babynini
you mean like make it into triangles?
ganeshie8
  • ganeshie8
Yes solve these two sides in the right triangle |dw:1433304188744:dw|
Babynini
  • Babynini
the side along j is 548.007 ...right?
Babynini
  • Babynini
no, sorry. the side from the j line to the plane
ganeshie8
  • ganeshie8
548 is right
Babynini
  • Babynini
oh haha good!
ganeshie8
  • ganeshie8
|dw:1433304779704:dw|
ganeshie8
  • ganeshie8
so for part \(b\), the velocity of jet in component form is \[\large 548i + 548j\]
Babynini
  • Babynini
ok!
Babynini
  • Babynini
can we do the same for the wind and get 27.5? or does that not work?
ganeshie8
  • ganeshie8
you need to work horizontal and vertical components in this triangle |dw:1433306300948:dw|
ganeshie8
  • ganeshie8
horozontal = 55*sin(30) = ? vertical = 55*cos(30) = ?
Babynini
  • Babynini
27.5 47.63
Babynini
  • Babynini
(horizontal first, vertical second)
Babynini
  • Babynini
is the direction of the jet (the last box) = 58.64?
Babynini
  • Babynini
(sorry, tht's a completely different part. we can come back to that.)
ganeshie8
  • ganeshie8
good so for part \(a\) do we have \[\large 27.5i + 47.63j\] ?
Babynini
  • Babynini
Yup
ganeshie8
  • ganeshie8
For part \(c\), simply add the answers from part \(a\) and \(b\)
ganeshie8
  • ganeshie8
hey may be use 548.0077i + 548.0077j for part a because they are asking to round to two decimal places
ganeshie8
  • ganeshie8
part \(c\) : true velocity of plane = velocity of plane + velocity of wind = \(\large (548.007i+548.007j) + (27.5i+47.63j)\) = ?
Babynini
  • Babynini
575.51i +595.62j
ganeshie8
  • ganeshie8
you should be getting 575.51i +595.6\(\color{red}{4}\)j check once
Babynini
  • Babynini
hm ok. Maybe i rounded the numbers wrong. I tried to use the original numbers.
ganeshie8
  • ganeshie8
ok part \(d\) should be simple take the magnitude of true velocity vector from part \(c\)
ganeshie8
  • ganeshie8
speed = \(\|575.51i+595.64j\| = \sqrt{575.51^2+595.64^2}=?\)
Babynini
  • Babynini
828.25
ganeshie8
  • ganeshie8
knw how to work last part ?
Babynini
  • Babynini
uh well I think so but i've been getting lots wrong lately lol
ganeshie8
  • ganeshie8
for last part, just need to find the angle of true velocity vector from part \(c\)
Babynini
  • Babynini
equation for that would be?
ganeshie8
  • ganeshie8
For any vector \(x+iy\), angle with positive x axis is given by \(\tan^{-1}(y/x)\)
Babynini
  • Babynini
so we'd do tan^(-1) 595.64/575.51
ganeshie8
  • ganeshie8
yes use ur calculator
Babynini
  • Babynini
45.98
Babynini
  • Babynini
oh but rounded to nearest interger so 46?
ganeshie8
  • ganeshie8
yes but thats the angle from positive x axis : |dw:1433308877835:dw|
ganeshie8
  • ganeshie8
the question is asking you for the angle from positive "y" axis
ganeshie8
  • ganeshie8
|dw:1433308980730:dw|
Babynini
  • Babynini
44
ganeshie8
  • ganeshie8
Perfect!
Babynini
  • Babynini
haha yay! :)
Babynini
  • Babynini
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Babynini
  • Babynini
Did i put them in wrong? o.o because the answers based off of those are correct.
ganeshie8
  • ganeshie8
how many chances do u have ?
Babynini
  • Babynini
5!
ganeshie8
  • ganeshie8
5 or 5!=120
ganeshie8
  • ganeshie8
try putting exact form
Babynini
  • Babynini
oh gosh no lol just 5.
ganeshie8
  • ganeshie8
part \(a\) : \[\large 27.5i+27.5\sqrt{~3~} j\]
ganeshie8
  • ganeshie8
part \(b\) : \[\large 387.5\sqrt{2}i+387.5\sqrt{2}j\]
Babynini
  • Babynini
Yeah the example one they did looks sort of like that. just divided b by the sq2
1 Attachment
ganeshie8
  • ganeshie8
good, give it a try you have 3 more chances right
Babynini
  • Babynini
so should I do it exactly like them and try to put little arrows over stuff?
ganeshie8
  • ganeshie8
do u knw how to put arrows ?
ganeshie8
  • ganeshie8
maybe forget about arrows for now and try entering the exact values wid radicals if it doesn't work, then you may try with arrows
ganeshie8
  • ganeshie8
because part c worked even when you didn't put arrows
Babynini
  • Babynini
not dividing it by sq2 either?
ganeshie8
  • ganeshie8
enter these and let me know if they work http://gyazo.com/81f10a84809d5f9dc852b18b923080a3
Babynini
  • Babynini
Yep that did it :)
ganeshie8
  • ganeshie8
Awesome!
Babynini
  • Babynini
Many thanks ^-^
ganeshie8
  • ganeshie8
np

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