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A plane, initially traveling 150 mi./hr. 100 east of north, suddenly enters a region where the wind is blowing at 50 mi./hr. from the southwest.

What is the plane’s resultant direction?

Respuesta :

Answer:

the Velocity of the plane is 100 mi/hr along the northeast direction

Step-by-step explanation:

According to the Question,

  • Given That, the Initial velocity of the plane is 150 mi/hr along the east north direction and the wind is blowing at 50 mi/hr along the southwest direction  

since the velocity of wind and plane is exactly opposite

  • the relative velocity of the plane with respect to the wind is given by

[tex]V_{r} = V_{p} -V_{w}[/tex]  , where  [tex]V_{p}[/tex] is the velocity of plane = 150mi/hr and [tex]V_{w}[/tex] = velocity of wind = 50 mi/hr

  • Therefore,  Relative Velocity = 150-50 ⇒ 100mi/hr along northeast direction

Thus, the velocity of the plane is 100 mi/hr along the northeast direction

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