If you fire a projectile in a fluid, say water. How far will it go before the water resistance stops it.(adsbygoogle = window.adsbygoogle || []).push({});

I know that water resistance is F=½*ρ*v^2*A*C_{d}

If I know the kinetic energy of the projectile my first impression was that it would simply be the work done by the water resistance vs the energy of the projectile:

E=½mv^2 and W=F*d, where d is distance traveled. But since the velocity of the projectile is reduced with distance because of the water resistance, the water resistance itself is lowered because of the lower velocity. It seems like one variable is dependent on the other. Is there any way to solve this?

also thanks in advance

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# Fluid resistance

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