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Maximum Flow

Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.

Powerfully Fast

Age 16 to 18 Challenge Level:
This problem uses the concept of power being the rate of work.

Thus, if all of the work is converted into kinetic energy then we will have
$$ P = \frac{d}{dt}\left(\frac{1}{2}mv^2\right) $$
Note that you can integrate this expression!