An airplane starts at rest and accelerates at 6.8 m/s2 at an angle of 39° south of west. After 9 s, how far in the westerly direction has the airplane traveled?

Respuesta :

Answer:36.8

Explanation:

We have that the westerly direction has the airplane traveled is

W=57.25m

From the question we are told that

  • An airplane starts at rest and accelerates at 6.8 m/s2
  • an angle of 39° south of west
  • After 9 s,  

Generally the Newtons  equation for the Distance   is mathematically given as

[tex]s=ut+1/2at^2\\\\s=ut+1/2(6.8)(9)^2\\\\s=275.4m[/tex]

Therefore

The airplane's Western travel

[tex]W=scos2\theta\\\\W=275.4cos2(39)\\\\W=57.25m[/tex]

The airplane's southern travel

[tex]W=ssin2\theta\\\\W=275.4sin2(39)\\\\W==269.38m[/tex]

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