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Maximize distance from cannon

  1. Jan 18, 2017 #1
    1. The problem statement, all variables and given/known data
    fullsizeoutput_92.jpeg
    2. Relevant equations
    Hint given in problem statement
    Quadratic formula

    3. The attempt at a solution
    fullsizeoutput_93.jpeg
    The correct answer is theta = 70.5 degrees. I'd like to know if I'm on the right track. Do I simply solve for theta? Is there a better approach that circumvents all of this messy algebra? Much appreciated!
     
  2. jcsd
  3. Jan 18, 2017 #2
    Oops!! All wrong. My bad. Please ignore
     
    Last edited: Jan 18, 2017
  4. Jan 18, 2017 #3

    haruspex

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    You do not need to solve the quadratic. If r is always increasing the quadratic has no solutions. What condition on the parameters leads to that?
     
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