Velocity Magnitude
If a jet is traveling 200 mi/hr and the tail wind is 40 mi/hour what is the resulting velocity?
I think it is 200+ 40 = 240 magnitude
And is its counter clockwise 240 degrees too?
Am I correct?

- anonymous

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- anonymous

If it is 240 it is going South West?

- anonymous

I think the magnitude is 240, but there's no info that allows you to figure out the angle

- anonymous

East = 0 degree

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## More answers

- anonymous

ok. then the angle would be 0°

- anonymous

because both the plane and the wind are east

- anonymous

This is what it states. The direction of a vector is often expressed as a counter clockwise angle of rotation of the vector from due east. In such a convention, East is 0 degree, North 90, West is 180 and south 270.

- anonymous

I have to find the Magnitude and the direction

- anonymous

oh, gotcha. I thought you were saying that the plane was traveling east. Whatever direction the plane is flying in is the angle because a tail wind by definition is in the direction of travel.
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they have to tell you a direction to start with

- anonymous

Ok, so we are staring with East 0 degree right?

- anonymous

they really gave you speeds and asked you to find velocity

- anonymous

Since we have 240 mag, which is a 45 degree we would be going in the direction of north east?

- anonymous

Honestly, I don't see how you can get a direction from the information provided. I just put that up there as an example of 2 different directions having the same magnitude

- anonymous

Is there maybe a picture with this problem?

- anonymous

Nope, just shows the jet and the wind magnitude

- anonymous

Maybe the jet is going east?

- anonymous

I'd go with that. really you could go with any direction.

- anonymous

I do have to calculate for Side Wind on the next problem, which will push it at a different angle

- anonymous

ok. that kind of makes sense. as if it's going 0° initially and then the side wind pushes it in another direction

- anonymous

still they could have made it more clear by stating explicitly that the direction was due east

- anonymous

I have to calculate for Tail, Head and Side Wind... Tail shoud be 240 and Head should be 160 and I have to do the side, which the wind is coming from the north so it will push it South east

- anonymous

yes

- anonymous

so your angle for the head wind was also 0°?

- anonymous

Yes, because it is just pushing toward the jet

- anonymous

ok

- anonymous

The side wind is the only thing I see that would make it change from east.

- anonymous

yes it is

- anonymous

Is the side wind also 40 mph ?

- anonymous

Yes

- anonymous

Yeah it must be east. It tells us here
The direction of a vector is often expressed as a counter clockwise angle of rotation of the vector from due east. In such a convention, East is 0 degree, North 90, West is 180 and south 270

- anonymous

Hummm or is it West????

- anonymous

Is it going from East to West so the Plane is moving West?

- anonymous

I'd stick with east. it really doesn't say and east is a reasonable guess since that's 0

- anonymous

Yeah but it would move at 180 degree since it is moving at a straight line

- anonymous

which 180 would be moving West

- anonymous

that's kind of what I'm saying. they didn't give you and explicit direction to begin with. When you work a vector problem, it's supposed to say for example 40 mph due east, or 200 mph at 45° SE. They only gave you the magnitudes of the vectors. There's no way for you to figure out the directions. You just have to pick a assume as the starting point and work the rest of the problem with that assumed direction. Picking 0° is just the easiest starting directions

- anonymous

0 degree is the starting and they stat it is east so if the jet moves with only tail or head wind, it moves at 180 degrees

- anonymous

I am assuming this from this passage
The direction of a vector is often expressed as a counter clockwise angle of rotation of the vector from due east. In such a convention, East is 0 degree, North 90, West is 180 and south 270

- anonymous

i see what you're saying. let me draw it out

- anonymous

|dw:1436035727364:dw|

- anonymous

they're both still going to be at 0° because the speed of the plane is greater than both the wind's vectors

- anonymous

But if it starts at 0, which it states it is often express as counter clockwise, so a jet moving straight from 0 would be 180

- anonymous

0° /due east is the horizontal x-axis. The angles are expressed starting in the counter clockwise direction

- anonymous

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- anonymous

So you would say East. Why they make it so confusing lol

- anonymous

yeah I would. I don't know, this is just a really badly worded question

- anonymous

What gets me is where it stats from due east like if you are coming from and then going to

- anonymous

I always think of the start point as the origin, which makes it a little easier

- anonymous

I gotta run. hopefully I was able to give some help. For the sidewind, since it's coming from the north, it will be at a 270° direction

- anonymous

Yes, you are always a lot of help

- anonymous

Thank you!!!

- anonymous

you're welcome
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- anonymous

Thanks!!!

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