If the effects of atmospheric resistance are accounted for, a freely falling body has an acceleration defined by the equation a = g(1− cv²), where the positive direction is downward. If the body is released from rest at a very high altitude, determine

(a) The velocity at time t₁

(b) The body’s terminal or maximum attainable velocity as t →∞. Given:

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t1 = 5 s DO = 9.81 m 2 S C = 2 4 S 10-4 2 m