Question

Please help me, I don't know how to solve this question?!?!?! :(

An airplane is flying at a velocity of 500 miles per hour due north when it encounters a wind blowing out of the west at 50 miles per hour. What is the magnitude of the airplanes resultant velocity? Round your answer to the nearest hundredth.

Answer 1

you are given the magnitude of 2 vectors, you need to find the resultant,
it can be found using pythagoras theorem, do you know it ?

Answer 2

Not really,...

Answer 3

v1 = 500, v2 = 50, resultant magnitude v,
\(v = \sqrt{v_1^2+v_2^2}\)
just plug in values.

Answer 4

oh ok, so it would be \[v=\sqrt{500}+ 50\]

Answer 5

no, you forgot to square both....

Answer 6

\(v=\sqrt{500^2+50^2}\)

Answer 7

Does it equal to 72.4? thats what i got:/

Answer 8

oh ok, sorry

Answer 9

I'm getting two different answers?

Answer 10

how ?

Answer 11

I got 3000 & 502.5?

Answer 12

502.5 is correct...

Answer 13

ok so thats the answer right?

Answer 14

yup.

Answer 15

thanks so much!!

Answer 16

welcome ^_^

Answer 17

Question do I do this question the same way too?? :/

A plane is flying due east with a velocity of 90 m/s. The wind is blowing out of the north at 4 m/s. What is the magnitude of the plane’s resultant velocity? Round your answer to the nearest tenth.

Answer 18

yes! exactly same formula.

Answer 19

ok thanks!! I get it now!!

Answer 20

good :)

Answer 21

Do you anything about vectors?

Answer 22

yes, many things..

Answer 23

If vector A and vector B have the same direction, and they both have a magnitude of 6. What must be true about vector A and vector B?

Answer 24

I think the answer would be that they are equal & parallel ? But I'm not sure...

Answer 25

thats correct, what was the doubt ?
Also, i would like to request you to make a new post for every different question, thanks :)

Answer 26

Vectors are equal if the have same magnitude and direction.

Answer 27

Ok I will sorry, thanks anyway!!!!

Answer 28

about this ,
here, vectors A and B both have same direction and magnitude(=6), so they are equal,
and vectors are parallel, if they have same direction, so these are parallel also....

Answer 29

Yeah I understand this one, the only reason I asked was because yesterday I took a test and failed and I've been studying and I just wanted to make sure I understood them!! Thanks for the help.