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Free fall and distance traveled question.

  1. Sep 22, 2012 #1
    1. The problem statement, all variables and given/known data
    (Yes this is a question about Batman.)

    To escape from Batman, 4 villains on motorcycles drive
    horizontally off the edge of a parking garage, landing in a pile
    of sand. The riders all have different initial speeds: v0A =
    14m/s, v0B = 24m/s, v0C = 18m/s, and v0D = 19m/s. Rank
    these four riders in order of time of flight, from shortest time to
    longest, with no spaces, using < or = symbols between them.
    For ties, list answers alphabetically. For example: D<A=C<B


    2. Relevant equations
    Xf = Xi + Vix*dT + (1/2)a*dT^2

    Vfx = Vix + a*dT

    Vfx^2 = Vix^2 + 2a*dT

    Xf = Xi + (1/2)(Vix + Vfx)*dT

    3. The attempt at a solution
    My first thought was to take a stab at finding Xf, and then finding delta T, but after going through with this my answer ended up being wrong. This is the information I gathered from the problem... It seems that I made my list wrong as I listed the horizontal acceleration as g when it shouldn't be, so I'm left with this.
    Xi = 0
    Xf = ?
    Vix = Vo
    Vfx = ?
    ax = 0
    dT= ?

    Yi = ?
    Yf = 0
    Viy = ?
    Vix = ?
    ay = -g

    This question really has me stumped. There's no angle theta and initial height of the building to help me out, so I'm confused.
     
  2. jcsd
  3. Sep 22, 2012 #2
    To escape from Batman, 4 villains on motorcycles drive
    horizontally off the edge of a parking garage, landing in a pile
    of sand.
    ------------
    Since all took off horizontally, thus zero vertical velocity, and landed on the same level, time of all flights are all equal.
    A=B=C=D.
     
  4. Sep 22, 2012 #3
    Thank you so much! I can't believe it was that simple... I suppose I should stop over-thinking this stuff.
     
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