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An aeroplane must have a velocity of 50m/s if is to take off.what is the mnimum acceleration takeof 500m long?

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An aeroplane must have a velocity of 50m/s if is to take off.what is the mnimum acceleration takeof 500m long?

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  1.   If it doesn't reach take off speed in ten seconds it will run out of runway.


  2. here the take off velocity is referred to as initial velocity so you can use

    v^2=u^2+2as

    0^2=50^2+2*a*500

    0=100+1000*a

    0=1100*a

    0/1100=a

    0=a

  3. v(f)^2 = v(0)^2 + 2ax

    where

    v(f) is the final velocity

    v(0) is the begining velocity

    a is acceleration

    x is the distance

    2500 = 0 + 1000 a

    a = 2500 \ 1000 = 2.5 m\s

  4. Assuming constant acceleration:

    v^2 = u^2 + 2as

    50^2 = 0^2 + 2*a*500

    2500 = 1000a

    a = 2.5 m/s^2

    And for the sake of the user Billy who posted above me, the time needed to takeoff at this acceleration is 20 seconds, and it uses all of the runway and does not run out.

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