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Math Help - vector valued problem

  1. #1
    No one in Particular VonNemo19's Avatar
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    vector valued problem

    HI. Major trouble with these 2 problems. If you can give me the general outline of how to approach them, that'd be great.

    A bale ejector consists of a 2 variable speed belt at the end of a baler. Its purpose is to toss bales into a trailing wagon. In loading the back of the wagon, a bale must be thrown to a position 8 feet above and 16 feeet behind the ejector.

    a) Find the minimum initiatial speed of the bale and the corresponding angle at which it must be ejected from the baler.

    b) The ejector has a fixed angle of 45 degrees. Find the initial speed required.




    Problem 2:
    A shot fired from a gun with a muzzle velocity of 1200 feet per second is to hit a target 3000 feet away. Determine the minimum angle of elevation of the gun.


    Like I said. I'd really like to work this problem, so no spoilers. Any help would be great.

    Thanks.
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  2. #2
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    Re: vector valued problem

    These are both projectile motion questions.
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  3. #3
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    skeeter's Avatar
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    Re: vector valued problem

    Quote Originally Posted by VonNemo19 View Post
    HI. Major trouble with these 2 problems. If you can give me the general outline of how to approach them, that'd be great.

    A bale ejector consists of a 2 variable speed belt at the end of a baler. Its purpose is to toss bales into a trailing wagon. In loading the back of the wagon, a bale must be thrown to a position 8 feet above and 16 feeet behind the ejector.

    a) Find the minimum initiatial speed of the bale and the corresponding angle at which it must be ejected from the baler.

    make the position (16,8) the apex of the bale's trajectory

    b) The ejector has a fixed angle of 45 degrees. Find the initial speed required.

    use the equations for delta x and delta y as functions of time, then eliminate the parameter t to get y as a function of x ... solve for v initial




    Problem 2:
    A shot fired from a gun with a muzzle velocity of 1200 feet per second is to hit a target 3000 feet away. Determine the minimum angle of elevation of the gun.

    have you derived this equation yet? R = \frac{v_o^2\sin(2\theta)}{g}

    ...
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