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Differential Equation question.

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  • 02-01-2016 3:19pm
    #1
    chris241111
    Registered Users Posts: 47 ✭


    A particle of mass m is projected along a smooth horizontal surface with initial speed 10m/s.
    There is air resistance to motion of 1/3mv, where v is the velocity of the particle. No other forces acts on the particle. Find the velocity of the particle after 3 seconds.

    A bit stuck any help appreciated
    Tagged:


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    #2
    chris241111
    Registered Users Posts: 47 ✭chris241111


    BTW, the answer is 10/e


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    #3
    sdio
    Registered Users Posts: 49 ✭sdio


    1. Start with the equation F=ma
    2. Replace a with dv/dt
    3. Separate the variables (put v's on one side and t's on other)
    4. Integrate both sides with appropriate limits
    5. Simplify

    I hope this helps!


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