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Projectile Motion: Finding a Relationship

  1. Feb 9, 2008 #1
    1. The problem statement, all variables and given/known data
    A projectile is launched when a car goes by t=0 s. (Position is given as meters and time as seconds). The cars has an initial velocity of 12 m/s. Find the relationship between Vo and the angle theta such that the projectile will always hit the car. When you determine the relationship, make sure to test it with a few values of Vo and theta.

    2. Relevant equations
    Vox= Vo * cos(theta of Vo)

    3. The attempt at a solution
    Well given that equation, since the car is travelling at 12 m/s, the projectile's x-component of the inital velocity must be equal to the car's, which will make the ball travel parallel with the car as it completes its parabolic curve.

    Now i've plugged in a couple of different magnitudes to the above equation that work:

    25 m/s, 61.31 degrees

    20 m/s, 53.13 degrees

    15 m/s, 36.87 degrees

    So what would you say is the relationship? I'm lost. :confused:
    Last edited: Feb 9, 2008
  2. jcsd
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