A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places.

Respuesta :

Using vector concepts, it is found that the components of the velocity are given as follows:

  • North: 205.21 mi/h.
  • East: 563.82 mi/h.

How can a vector be represented in i and j notation?

Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:

[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]

In which:

  • i is the horizontal(east/west) component.
  • j is the vertical(north/south) component.

In this problem, we have that the magnitude and the angle are given as follows:

[tex]M = 600, \theta = 70^{\circ}[/tex]

Hence the north component is:

[tex]600\cos{70^{\circ}} = 205.21[/tex]

And the east component is:

[tex]600\sin{70^{\circ}} = 563.82[/tex]

More can be learned about vectors at brainly.com/question/24606590

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