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Math Help - Displacement, velocity and acceleration

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    Unhappy Displacement, velocity and acceleration

    The formula for distance, velocity and acceleration are derived in calculus using s = Svdt(S-integral) and v = at +v0
    derive the formula for distance(s) using velocity and the initial velocity v0
    Last edited by mr fantastic; May 25th 2010 at 06:57 PM. Reason: Re-titled.
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    Quote Originally Posted by lorica2000 View Post
    The formula for distance, velocity and acceleration are derived in calculus using s = Svdt(S-integral) and v = at +v0
    derive the formula for distance(s) using velocity and the initial velocity v0
    assuming acceleration is constant ...

     <br />
v = v_0 + at<br />

     <br />
\frac{ds}{dt} = v_0 + at<br />

     <br />
ds = (v_0 + at) \, dt<br />

     <br />
\int ds = \int (v_0 + at) \, dt<br />

     <br />
s = s_0 + v_0 t + \frac{1}{2}at^2<br />
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