def fall(cap=1): import math R_Earth = 6371000 M_Earth = 5.972 * 10**24 G = 6.674 * 10**-11 rho = M_Earth/((4.0/3)*math.pi*R_Earth**3) inc = R_Earth/4.0 while inc >= cap: x = R_Earth a = G*rho*(4/3.0)*math.pi*x t = 0.0 v = 0.0 while x > 0: u = v v = (u**2 + 2 * a * inc)**0.5 t = t + (v-u)/a x = x - inc a = G*rho*(4/3.0)*math.pi*x print 'Inc of {0} m gave a time of {1} s and max speed of {2} m/s'.format(inc,t*2,v) if inc/2.0 < 1000: # I wanted to double the number of incraments until they are 1km ish each if inc > 1000: inc = 1000 else: # Then I want to go down 1km, 100m, 10m etc inc = inc/10.0 else: inc = inc/2.0
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