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Self Induction

how to find v...

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how to find v_{max} for a bod

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\frac{y_{m a x}}{ν_{m a x}} = \frac{ν_{m a x}}{α_{m a x}},

where the symbols have usual meanings. Can we use componendo and dividendo taught in algebra to write

\frac{y_{m a x} + ν_{m a x}}{ν_{m a x} - ν_{m a x}} = \frac{ν_{m a x} + α_{m a x}}{ν_{m a x} - α_{m a x}} ?

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