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23 September, 05:59

A particular airplane will reach liftoff at a speed of 120 km/h. (a) what minimum constant acceleration does the airplane require for it to liftoff after a takeoff run of 270 m? (enter the magnitude only.)

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  1. 23 September, 06:50
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    The working equation for this problem is a derived equation from the rectilinear motion at constant acceleration. The equation is written below:

    2ax = v² - v₀²

    where

    a is the acceleration

    x is the distance

    v is the final velocity

    v₀ is the initial velocity

    Of course, the plane starts from rest, so v₀ = 0. The final velocity is the liftoff speed which is v = 120 km/h. Substituting the values:

    2a (270 m) = (120 km/h) ² - 0²

    Solving for a,

    a = 26.67 km/h²
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