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Rifle ball through a three-inch plank

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A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.  Its velocity on entering the plank is 1000 feet/second, and on leaving the plank is 500 feet/second.  How long does it take the ball to traverse the plank?  (Byerly, Problems of Differential Calculus, U.S., 1895)

"Rifle ball through a three-inch plank," Loci (February 2006)

Dummy View - NOT TO BE DELETED