If the effects of atmospheric resistance are accounted for, a freely falling body has an acceleration defined

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If the effects of atmospheric resistance are accounted for, a freely falling body has an acceleration defined by the equation, a = 9.81[1- v²(10-4)] m/s², 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 → ∞).

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