My Math Forum ODE Problem

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 May 11th, 2010, 06:49 PM #1 Newbie   Joined: May 2010 Posts: 12 Thanks: 0 ODE Problem An object of mass $1$ is launched vertically upward with an initial speed of $V_0 m/sec$. The object is subjected to gravity, $g=9.8mts/sec^2$ and a force of friction which is proportional, with proportionality constant $0.2$, the square of its speed. What should be the initial speed $V_0$ to the maximum height is $100$ meters? (Recall that $\displaystyle\frac{dv}{dx}=a$ and that $F=ma$) Thanks

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