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Acceleration and free fall problem

  1. Nov 10, 2009 #1
    1. The problem statement, all variables and given/known data
    A jumbo jet needs to reach a speed of 300 km/hr on a runway for take off. Assuming a constant acceleration and a runway 2 km long, what minimum acceleration from rest is required to get the jet in the air?


    2. Relevant equations
    I tried using the equation:
    2a(X-Xo)=V^2+Vo^2

    But there is also:
    X=Xo+Vot+(1/2)at^2
    V=Vo+at

    3. The attempt at a solution
    I set up the following variable list:
    Xo=1.5 Vo=?
    X=21.5 V=0
    t=? a=-9.8

    I plugged these values into the equations mentioned above to get a final answer of 2250km/hr^2 for the acceleration needed.
     
    Last edited: Nov 10, 2009
  2. jcsd
  3. Nov 10, 2009 #2
    The first equation you have written (Vf^2 - Vi^2 = 2*a*x) should work. Assume the plane is starting from rest. This will give you all the variables except for the one you're looking for.
     
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