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Thread: Mechanics Question?

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    Mechanics Question?

    Point P, Q are h metres apart in a vertical line. A particle is projected with speed C from P towards Q at the same instant, another is projected with speed C from Q towards P.

    If the resistance of the medium is proportional to the speed and the terminal speed is C, show that the particles meet after time



    provided .

    As per upwards and downwards cases

    I could get (if I am right!)
    for upwards:



    for downwards:



    I understand



    How do I use terminal velocity C to get the result?

    Thanks for your help.

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    Re: Mechanics Question?

    Using your equations for time, make the subject. Integrate again to get as a function of , and then solve .

    Note that .

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