A 180-lb person jumps out of an airplane with initial upwardvelocity of 5 ft/s at a height of 3000 ft (assuming the airresistance is proportional to its falling speed). The air resiststhe body's motion with a force of 2 lb for each ft/s of speed.Assuming the constant gravity is 32 ft/s^2 (1) find its velocity v= v(t) (2) find its terminal velocity (3) find the distance offalling x = x(t) (4) find the duration in seconds until the bodyhits the ground
