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Statement of a problem № 3182

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An open railway car of mass W is running on smooth horizontal rails under rain falling vertically down which it catches and retains in the car. If v0 is the initial velocity of the car and k the mass of rain falling into the car per unit time, show that the distance travelled in time t is (W v0 / k) ln(1 + kt / W ).

Solution:
An open railway car of mass W is running on smooth horizontal rails under rain f

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