Posted by Harold on Monday, March 16, 2009 at 11:46pm.
No. If the retarding force is constant (which means independent of speed), and you want it to penetrate four times as far, it will have to do four times as much work against the mud. That will require four times the kinetic energy.
I think this is an unrealistic problem. Fluid resistance forces are not independent of velocity.
twice as fast
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