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Find Initial Velocity given angle, distance, height launched from.

  1. Sep 18, 2009 #1
    1. A nerf gun in a vacuum is fired from .98 meters at an angle of 15degrees, going 7.86m. Find the initial velocity of the gun, then find the horizontal and vertical components of the initial velocity.

    y=o ( the final height of the dart is 0)
    θ=11 degrees

    2. Relevant equations

    3. The attempt at a solution
    So first i simplified the x equation down to get time on one side to get
    Then i plugged in the numbers to get

    Then i plugged in the parts for the y equation,
    Now what do i do? do take out a t and plug in the x equation?
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Sep 18, 2009 #2
    Why not substitute in v_0* sin (theta) = v_0y. Then you have two equations and two unknowns and from that everything else is easy to find!
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