Given that ##v_0## and ##v_f## are positive variables related by the equation(adsbygoogle = window.adsbygoogle || []).push({});

where ##g## and ##\alpha## are positive constants.

Can you show that ##v_f<v_0## for all positive values of ##v_0## using a non-graphical method?

Physically, ##v_0## and ##v_f## are the initial and final speeds (at the same height) of a ball thrown upwards in a medium with a drag force ##F=-m\alpha v##.

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# I Proving an inequality from an equation

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