We have the following formula for the velocity of an object moving in a fluid.(adsbygoogle = window.adsbygoogle || []).push({});

v = v_{t}-v_{t}e^{-kt/m}.

This formula shows that an object can never achieve terminal velocity but in the derivation of this formula given in "Fundamental of Physics" by H D Young and Freedman 10 edition we use the formula mg=kv_{t}which shows that object achieves terminal velocity?

Can any one please explain this seemingly contradiction?

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# Terminal Velocity formula

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