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Help! Trig Question

  1. Jul 17, 2009 #1
    1. The problem statement, all variables and given/known data
    The height (h) in cm of Shantaro's pogo stick as he jumps in (s) seconds is roughly modelled by h(s)= sin^(2)4x+2sin4x+1
    a) how many times does shantaro hit the ground in the first five seconds


    2. Relevant equations



    3. The attempt at a solution
    i dont even know where to start :(
    i tried with g.calc but i need to do it algerbraically
     
  2. jcsd
  3. Jul 17, 2009 #2

    CompuChip

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    Note that when he hits the ground, h(s) = 0. So you are asked to find all values 0 < s < 5 for which h(s) = 0.

    Now, assuming you meant h(s)= sin2(4s)+2sin(4s)+1, you can start by defining y = sin(4s) and rewriting s to y.
     
    Last edited: Jul 17, 2009
  4. Jul 17, 2009 #3
    It would be better to substitute sin(4s)=y, so he will come up with quadratic equation.

    Regards.
     
  5. Jul 17, 2009 #4

    CompuChip

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    Whoops, that's what I meant of course. Nice catch.
     
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