Abucket of mass m is being drawn up a well by a rope which exerts a steady force p on the bucket. initially the bucket is at rest and contains a total mass m of water, but this leaks out at a constant rate, so that after a time t, before the bucket reaches the top, the bucket is empty.

find the velocity of the bucket just at the instant it becomes empty. express your answer in terms of p, m, m, t, and g, the acceleration due to gravity