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echo: science
to: Miles Maxted
from: DAVID WILLIAMS
date: 2005-10-06 22:11:50
subject: Falling into another one

-> * Crashing at 90kph is equivalent to falling one storey 
-> * Crashing at 110kph = falling 5 storeys 
-> * Crashing at 125kph = falling 9 storeys 
  
I found the following little program on my hard disk. It calculates the 
velocity of a person who has fallen some distance, taking air 
resistance into account. It's in "old" units, but I'm sure you can fix 
that. 
  
                             dow 
  
--------------------------------------------------- 
  
' bfall 
g = 32 ' ft/sec^2 
h = 230' bridge height 
v = 0  ' speed of fall 
s = 0  ' distance fallen 
t = 200' terminal velocity, ft/sec 
dt = .001' iteration time interval, secs 
DO 
   v = v + g * dt * (1 - (v / t) ^ 2) 
   s = s + v * dt 
LOOP UNTIL s >= h 
PRINT v; "ft/sec, or"; 
PRINT v * 3600 / 5280; "miles per hour" 
END 
  
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