Physics I NEED HELP BADLY

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An airplane traveling east at a speed of 270 km/h encounters a wind of 75 km/h what is the resulting speed of the plane if:
- The wind is blowing east.
- The wind is blowing west.
- The wind is blowing north.

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  • Physics I NEED HELP BADLY -

    Airplane speed = <270,0>
    (components in the x,y directions)

    Wind speed 75 km/hr eastwards
    =<75,0>

    Resultant speed
    = <270,0>+<75,0> = <345,0>
    = 345 km/hr eastwards.

    Wind speed blowing 75 km/h west
    Resultant
    =<270,0>+<-75,0>
    =<195,0>
    =195 km/hr eastwards

    Wind blowing north
    Resultant speed
    =<270,0>+<0,75>
    =<270,75>
    =√(270²+75²)
    =280.2 km/h approximately

  • Physics I NEED HELP BADLY -

    Thank you so much for your help, I was stuck on this question forever!

  • Physics I NEED HELP BADLY :) -

    You're welcome!

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