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One-dimensional problem?

  1. Oct 11, 2009 #1
    An airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m. Assume the ground is level. What horizontal distance from a target must the pilot release a bomb so as to hit the target? I know the answer is 2.7 km because it is or a review packet prior to a big test however, I do not know how my teacher got the problem.



    Is it x=1/2at^2+vot?
    I am confused!
     
  2. jcsd
  3. Oct 11, 2009 #2

    lewando

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    Gold Member

    To pick appropriate kinematic equations, first take an inventory of what we know about the bomb:
    [let's assert that (x,y,t) = (0,0,0) = position and moment in xy-plane when bomb is released]
    vx(0) = 300 m/s
    vx(t) = 300 m/s
    vy(0) = 0 m/s
    T = time from bomb release to target impact
    y(T) = -400 m
    ay = -9.8 m/s²
    ax = 0 m/s²

    What are we looking for:
    T
    x(T)

    Is this clear so far?
     
  4. Oct 12, 2009 #3
    Yes, this is clear. So we have do we do x=1/2at^2+vot?
     
  5. Oct 12, 2009 #4

    lewando

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    Gold Member

    Your x-axis equation boils down to x(T) = vx(0)T because ax is zero. Need to find T. Can you apply the y-axis version of your equation and see where it takes you?
     
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