Question

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?

Answer 1

If it is 240 it is going South West?

Answer 2

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

Answer 3

East = 0 degree

Answer 4

ok. then the angle would be 0°

Answer 5

because both the plane and the wind are east

Answer 6

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.

Answer 7

I have to find the Magnitude and the direction

Answer 8

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.


they have to tell you a direction to start with

Answer 9

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

Answer 10

they really gave you speeds and asked you to find velocity

Answer 11

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

Answer 12

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

Answer 13

Is there maybe a picture with this problem?

Answer 14

Nope, just shows the jet and the wind magnitude

Answer 15

Maybe the jet is going east?

Answer 16

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

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

yes

Answer 22

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

Answer 23

Yes, because it is just pushing toward the jet

Answer 24

ok

Answer 25

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

Answer 26

yes it is

Answer 27

Is the side wind also 40 mph ?

Answer 28

Yes

Answer 29

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

Answer 30

Hummm or is it West????

Answer 31

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

Answer 32

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

Answer 33

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

Answer 34

which 180 would be moving West

Answer 35

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

Answer 36

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

Answer 37

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

Answer 38

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

Answer 39

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