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Question : If the effects of atmospheric resistance are accounted for, ...

If the effects of atmospheric resistance are accounted for, a falling body has an acceleration defined by the equation a = 9.81[1 - { v }^{ 2 }({ 10 }^{ -4 })] m/{ s }^{ 2 }, where v is in m/s and the positive direction is downward. If the body is released from rest at a very high altitude, determine (a) the velocity when t = 5 s , and (b) the body’s terminal or maximum attainable velocity (as t \rightarrow \infty).

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