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Math Help - advanced projectile motion problem

  1. #1
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    advanced projectile motion problem

    Hello all,

    I usually consider myself to be quite good at most things math related, but compared to some of the people here, I'm sure I'm very terrible at it.


    I have a very advanced projectile motion problem that I need to solve (not for school). I'm trying to contact everyone I know who might have an idea how to solve this problem.

    The problem is to find the angles of fire so that a moving soldier can hit a moving target with a bullet. A full specification of the problem is in the pdf I link to below. If you can't find the exact solution, an approximate answer might also be adequate.


    http://www.vincentrubinetti.com/adva...ile_motion.pdf



    Let me know if you are able to solve it, or even if you have any idea of how to approach solving it.


    Thank you
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by evesira View Post
    Hello all,

    I usually consider myself to be quite good at most things math related, but compared to some of the people here, I'm sure I'm very terrible at it.


    I have a very advanced projectile motion problem that I need to solve (not for school). I'm trying to contact everyone I know who might have an idea how to solve this problem.

    The problem is to find the angles of fire so that a moving soldier can hit a moving target with a bullet. A full specification of the problem is in the pdf I link to below. If you can't find the exact solution, an approximate answer might also be adequate.


    http://www.vincentrubinetti.com/adva...ile_motion.pdf



    Let me know if you are able to solve it, or even if you have any idea of how to approach solving it.


    Thank you
    In a word (well 4 words actually): Free Fall Reference Frame

    CB
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  3. #3
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    Keep in mind the horizontal velocities of the bullet and the target are constant. So take their initial distance apart d=|Rx-Ry|, and the relative velocity between them v=|Sx-Vx|. This gives you an easy roundabout method to find t=d/v, the amount of time the bullet is in the air before it hits the target (if it hits the target). Use V to find (x,y) of the target after time t, and voila, you can use the equation for shooting a static target.

    Unless I am mistaken, the soldier's motion is irrelevant, because the bullet and the target move independently of him/her once the gun is fired.
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Media_Man View Post
    Keep in mind the horizontal velocities of the bullet and the target are constant. So take their initial distance apart d=|Rx-Ry|, and the relative velocity between them v=|Sx-Vx|. This gives you an easy roundabout method to find t=d/v, the amount of time the bullet is in the air before it hits the target (if it hits the target). Use V to find (x,y) of the target after time t, and voila, you can use the equation for shooting a static target.

    Unless I am mistaken, the soldier's motion is irrelevant, because the bullet and the target move independently of him/her once the gun is fired.
    Given your first sentence we may assume you mean d to be the horizontal distance apart, that is not what your notation says (to be honest I don't understand your notation at that point). It looks looks v is the absolute value of the horizontal component of the shooter and targets relative velocity; In which case d/v is not the time that the projectile is in flight.


    CB
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