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Projectile A - > B , two different angles

  1. Sep 8, 2010 #1
    1. The problem statement, all variables and given/known data
    Muzzle velocity at A = Vo. Determine the two angles, theta 1 and theta 2.

    A is seperated from B by a distance L in the x direction and a height H. (B is on a hill above A).

    2. Relevant equations

    3. The attempt at a solution
    I feel that the important facts of this problem is that sin(theta1)Vo * t1 - gt1^2 = sin ( theta2 )Vo * t2 - gt2^2, since the y displacement for both projectiles are identical. Similarly, we have that the x projectiles are the same, so that cos (theta1 )Vo * t1 = cos ( theta 2 )Vo * t2.
    With these equations, I have two variables two equations, but I cannot figure out how/if it is possible to solve these to isolate a variable. I am guessing that there is probably an easier way to do this, so a small hint would be greatly appreciated!

    thanks guys.
  2. jcsd
  3. Sep 8, 2010 #2
    Actually, after a bit more working through, I came up with a quadratic in terms of tan ( theta ) . The equation itself looks pretty nasty, but does this make sense? I have a tan^2, Tan, and then a constant, so it seems like it could definelty be a quadratic.

    Any input apprecaited.
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