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Math Help - Motion of a particle with varying mass

  1. #1
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    Cool Motion of a particle with varying mass

    Pretty simple question , lets see who can get it hehe

    A particle P increases its mass, through condensation of moisture, at a constant time rate (m0/tau), where m0 is the initial mass of P and tau is a constant. The particle moves freely under gravity and is projected from O, the origin or coordinates, with a velocity whose horizontal and vertical components are U and V respectively. Show that the coordinates (x,y) of P, when its mass is m, are given by:

    x = U*tau*ln(m/m0)

    y=0.25g*(tau)^2(1-m^2/m0^2)+(V*tau+0.5g(tau)^2)ln(m/m0)
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  2. #2
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    Quote Originally Posted by mitch_nufc View Post
    Pretty simple question , lets see who can get it hehe

    [snip]
    Do you actually need help with this question or is it just some sort of challenge?
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  3. #3
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    sort of a challange, I got the solution but it took me a old winded method to get there, wondering if anyone had any neat tricks
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