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A diver of mass 60kg, on entering the water with an initial velocity of 14.87ms-1, experienced a force of resistance due to the opposing motion of magnitude of 180v Newtons, where v is the velocity of the diver in ms-1 . In addition to the force of gravity, the diver also experiences a constant upward buoyancy force of 720N. Take the origin of motion to be the surface of the water. The magnitude g of the acceleration due to gravity can be taken as 10ms-1 . Calculate the maximum depth, in metres the diver will submerge. Give answer to 3 decimal places.

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