Suppose that g is continuously differentiable on some interval (c, d) that contains the fixed point p of g. Show that if |g'( p)|  0 such that if |p0 ˆ’ p| ‰¤ δ, then the fixed-point iteration converges.

Where g = 32.17 ft/s2 and k represents the coefficient of air resistance in lb-s/ft. Suppose s0 = 300 ft, m = 0.25 lb, and k = 0.1 lb-s/ft. Find, to within 0.01 s, the time it takes this quarter-pounder to hit the ground.

kk2