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A particle of unit mass is projected vertically upward with velocity V and resistance of the air produces a retardation kv^2, where v is

A particle of unit mass is projected vertically upward with velocity V and resistance of the air produces a retardation kv^2, where v is the velocity. Show that the velocity V', with which the particle will return to the point of projection, is given by 1 k == 2/2 + 1/ V2 V2 g

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