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A particle of unit mass moves in a straight line under retardation which is k times its velocity. Initially, the particle is at a

A particle of unit mass moves in a straight line under retardation which is k times its velocity. Initially, the particle is at a distance a from a given point 0 in the line and is moving towards O with velocity u (> ak). Prove that it will reach O in time -log k u u-ak

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