A particle is projected with velocity V along a smooth horizontal plane in a medium whose...

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A particle is projected with velocity V along a smooth horizontal plane in a medium whose resistance per unit mass is u times the cube of the velocity. Show that the distance it has describe in time t is 1/meu.V [1+2.meu.V^2.t -1]^1/2 A particle is projected with velocity V along a smooth horizontal plane in a medium whose resistance per unit mass is u times the cube of the velocity. Show that the distance it has describe in time t is 1/meu.V [1+2.meu.V^2.t -1]^1/2

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