Derive an expression for the limiting distance the block

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Suppose that a block sliding on a greased horizontal surface experiences a drag force F = -cv3/2 (for positive velocity v), where c is a positive constant. At time t = 0, the block is at position x = 0, with initial positive velocity v0. Find the velocity and position as functions of time. Derive an expression for the limiting distance the block travels, or show that there is no limit.

Reference no: EM13634427

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