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Projectile Motion

  1. Jun 8, 2009 #1
    Given:
    A fixed barrel velocity, [tex]v_{0}[/tex]
    An elevation of the piece of artilery, e
    Target distance, x
    Target elevation, te

    Find:
    time of travel, t
    angle of the artilery, a

    Equations:
    [tex]y_{0}[/tex] = te - e

    x = [tex]v_{0}[/tex] * cos(a) * t
    y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex] * sin(a) * t - 0.5 * g * [tex]t^{2}[/tex]

    If you try solving these for a and t, it gets ugly. Is there an equation I am missing or another way around this?
     
  2. jcsd
  3. Jun 8, 2009 #2

    Cyosis

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    Homework Helper

    You're y_0 seems wrong. At t=0 the elevation should be e should it not? Other than that it looks good, two equations, two variables therefore solvable.

    tip:put your entire equations between tex brackets it will look at a lot better.
     
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