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Math Help - integration problem

  1. #1
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    integration problem

    here is the question, with what initial velocity must an object be thrown upward (from ground leve) to reach the top of the washington monument (550ft.) use a(t)=-32ft/sec^2

    thanks
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  2. #2
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    Quote Originally Posted by soldatik21 View Post
    here is the question, with what initial velocity must an object be thrown upward (from ground leve) to reach the top of the washington monument (550ft.) use a(t)=-32ft/sec^2

    thanks
    v_0 = initial velocity

    v = v_0 - 32t

    when it reaches the top, v = 0

    let T be the time it reaches the top ...

    T = \frac{v_0}{32}

    550 = \int_0^T v_0 - 32t \, dt

    solve for v_0
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  3. #3
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    i understand everything you posted but how would i take the integral of Vo-32t?
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  4. #4
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    If you're integrating with respect to t, than all your other variables are considered constant:

    \int Rtdt = \frac{Rt^2}{2}

    Edit: And to add some nonesense.

    \int a(t)dt = v(t) = -32t + c = Vi - 32t

    Vi - 32t = 0

    t = \frac{Vi}{32}

    \int v(t)dt = s(t) = Vit - 16t^2 + c = Vit - 16t^2

    550 = Vit - 16t^2

    550 = Vi \frac{Vi}{32} - 16 (\frac{Vi}{32})^2

    Vi = 200 \sqrt {22}
    Last edited by derfleurer; April 27th 2009 at 08:45 PM.
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