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Physics projectile problem - finding vertical range using the horizontal range

  1. Sep 11, 2011 #1
    1. The problem statement, all variables and given/known data

    What is the maximum vertical height to which a baseball player can throw a ball if his maximum throwing range is 54 m?

    vertical: a=9.8 m/s/s, Vyo=0 m/s, d=?, t=?
    horizontal: d=54 m, a=0 m/s/s, Vxo=?, t=?

    2. Relevant equations

    d=Vo*t+.5*a*t^2

    3. The attempt at a solution

    Since Vo or theta was not given, I decided to graph a parabola who's derivative would be 9.8t...so on my calculator I graphed 4.9t^2. Since I know it traveled 54 meters horizontally, I thought the y value of the parabola when x=27 would be my answer..but it clearly was not.

    Any ideas on how to approach this? I'm confused because of the few givens I have to work with.
     
  2. jcsd
  3. Sep 11, 2011 #2
    Hi gchuchro and welcome to PF!

    Firstly a question from me: how would you throw a ball if you wanted to throw it furthest away?
     
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