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Water is leaking out through a hole in the bottom of a bucket at a rate dv/dt = -8(25-t), where vcm^3 is the volume of liquid in the bucket at time t seconds. Initially there was 2.5 litres of water in the bucket. Find v in terms of t, and hence find the time taken for the bucket to be emptied.
Water is leaking out through a hole in the bottom of a bucket at a rate dv/dt = -8(25-t), where vcm^3 is the volume of liquid in the bucket at time t seconds. Initially there was 2.5 litres of water in the bucket. Find v in terms of t, and hence find the time taken for the bucket to be emptied.
