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an airplane travels at 141 km/h toward the northeast. What is its components of velocity?

2007-01-01 06:54:34 · 11 answers · asked by blah 3 in Science & Mathematics Physics

oh I'm so sorry! I forgot to add something.



*** What is its components of velocity DUE NORTH?

2007-01-01 07:03:05 · update #1

**** What is its components of velocity DUE NORTH?

2007-01-01 07:12:14 · update #2

11 answers

The 2 components of velocity, a vector quantity ,are: speed=141km/hr
direction=NE or 45degrees
V=at

2007-01-01 07:10:57 · answer #1 · answered by science teacher 7 · 0 0

Between east and north the angle is 90 degree.

Any direction at an angle between east and north is north -east.

However we assume that north- east means 45 degree toward North from east.

The component of 141 km/h in the east direction is 141 cos 45.

The ‘cos’ is used because cos is adjacent/ hypotenuse.

East direction is adjacent to this direction.

The perpendicular component to this component is 141 sin (90- 45)

= 141 sin 45.

If the direction is other than 45 degree, replace 45 by that angle.

2007-01-09 03:20:38 · answer #2 · answered by Pearlsawme 7 · 0 0

You can assume that northeast is 45 degrees between north and east. So you use your pythagorean theorem.

a^2 + b^2 = c^2 where c is the magnitude of the velocity at 45 degrees.
What else do you know about a 45 degree angle? Both sides are equal? WHat does this tell you about and b in the equation above?
Now you can easily solve : )

2007-01-01 15:00:02 · answer #3 · answered by D V 2 · 0 0

set up a right triangle like this:
. /|
./ |
/_|
the hypotenuse is 141. since it's exactly northeast, then the two legs of the triangle should be equal (x=y). then by pythagorean's theorem, x^2 + y^2 = 141^2, substituting in we get:
2x^2 = 19981
then solve
x^2 = 9940.5
x=99.70205615
So:
Velocity component due North is 99.70205615
Velocity component due East is 99.70205615

2007-01-01 14:59:16 · answer #4 · answered by Anonymous · 0 1

since it is travelling in direction of north east therefore it is making angle 45 wid north and east
its velocity component in dir of north=141sin 45
its velocity component in dir of east=141 cos 45

2007-01-01 14:59:03 · answer #5 · answered by miinii 3 · 0 0

components?
velocity is consist of direction and speed
it's components are 141 km/hour and northeast

2007-01-01 14:57:38 · answer #6 · answered by Evermore 3 · 0 0

141*sin Pi/4=141*0.707

2007-01-01 19:01:15 · answer #7 · answered by JAMES 4 · 0 0

First of all Velocity depends on motion and direction. So break it up to x's and y's Then add them up and use a^2+b^2=c^2

2007-01-01 15:00:34 · answer #8 · answered by muath r 1 · 0 0

Components are along east & north

2007-01-09 12:39:13 · answer #9 · answered by Sudhakaran V 1 · 0 0

i think yer Q missing the angle maybe, just 2 find
y= 141 sin (angle)
x= 141 cos (angle)

2007-01-01 14:59:39 · answer #10 · answered by Scaryhunter 2 · 0 0

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