A fluid with density rho=800kg/m^3 blows with a velocity vtop=5.8 (m/s) on top of a flat sheet, having dimensions 3 x 5 x 1 m and density 200 kg/m3; with a velocity vbottom=5.7m/s underneath the flat sheet. Determine how far the flat sheet moves, and in which direction, in a time 9 seconds.
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