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An object of mass 2 kg is released from rest from a platform 30 m above...

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Advance Math

An object of mass 2 kg is released from rest from a platform 30m above the water and allowed to fall under the influence ofgravity. After the object strikes the water, it begins to sink withgravity pulling down and a buoyancy force pushing up. Assume thatthe force due to gravity (g = 9.81 m/s2) is constant, no change inmomentum occurs on impact with the water, the buoyancy force is 1/2the weight (weight=mg), and the force due to air resistance isproportional to the velocity, with proportionality constant b1 = 10N-sec/m in the air and b2 = 100 N-sec/m in the water. Find theequation of motion of the object. What is the velocity of theobject 1 min after it is released?

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