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Throwing a rock - simple mechanics problem

  1. Oct 14, 2012 #1
    1. The problem statement, all variables and given/known data

    A rock was thrown at the angle of 30 degrees against the horizontal surface, being given a velocity [itex]V_0=12m/s[/itex]. Find the largest height h and the Z - the range of the throw.

    2. Relevant equations

    [itex]h_{max}=\frac{v_0^2\cdot\sin^2\alpha}{2g}[/itex]
    [itex]Z=\frac{v_0^2\cdot\sin 2\alpha}{g}[/itex]

    3. The attempt at a solution

    [itex]h_{max}=\frac{v_0^2\cdot\sin^2\alpha}{2g}=\frac{144*0,25}{2g}=2m[/itex]
    [itex]Z=\frac{v_0^2\cdot\sin 2\alpha}{g}=\frac{144\sqrt{3}/2}{9,81}=12m[/itex]

    Is that OK?
     
  2. jcsd
  3. Oct 14, 2012 #2

    mfb

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    2016 Award

    Staff: Mentor

    Looks fine to me, if you can use those equations directly.
     
  4. Oct 14, 2012 #3
    I suppose I will be allowed to :) Thank you.
     
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