Posted by Anonymous on Thursday, April 12, 2012 at 9:43am.
What does k represent? Air friction resistance that is proportional to velocity?
Write and solve the differential equation of motion, to get equations for X(t) and V(t). Find the t when V = 0. Use that t for the location.
The assumption that resistance is proportional to velocity may not lead to an accurate result. As velocity slows down, the frictional resistance goes to zero with that assumption.
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