Problem

A retarding force is applied to a body moving in a straight line so that, during an inte...

A retarding force is applied to a body moving in a straight line so that, during an interval of its motion, its speed v decreases with increased position coordinate s according to the relation v2 = k/s, where k is a constant. If the body has a forward speed of 2 in./sec and its position coordinate is 9 in. at time t = 0, determine the speed v at t = 3 sec.

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