Medical studies have established that a parachutist's chance of sustaining a significant vertebrae injury increases significantly if the free-fall velocity exceeds 36 m/s after 4 seconds of free fall. Your boss at the sky-diving company wants you to determine the drag coefficient mass at which this criterion is exceeded given a 82 Kg parachutist. Use bisection to determine the drag coefficient needed so that an 82 - kg parachutist has a velocity of 36m/s after 4s of free fall. Note: The acceleration of gravity is 9.81m/s2. Start with initial guesses of x = 2 and x = 6 and iterate until the approximate relative error falls below 5%. Also, perform an error check by substituting your final answer into the original equation.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Medical studies have established that a parachutist's chance of sustaining a significant vertebrae injury increases significantly if
the free-fall velocity exceeds 36 m/s after 4 seconds of free fall. Your boss at the sky-diving company wants you to determine the
drag coefficient mass at which this criterion is exceeded given a 82 Kg parachutist. Use bisection to determine the drag
coefficient needed so that an 82 - kg parachutist has a velocity of 36m/s after 4s of free fall.
Note: The acceleration of gravity is 9.81m/s2. Start with initial guesses of x = 2 and x = 6 and iterate until the approximate
relative error falls below 5%. Also, perform an error check by substituting your final answer into the original equation.
Transcribed Image Text:Medical studies have established that a parachutist's chance of sustaining a significant vertebrae injury increases significantly if the free-fall velocity exceeds 36 m/s after 4 seconds of free fall. Your boss at the sky-diving company wants you to determine the drag coefficient mass at which this criterion is exceeded given a 82 Kg parachutist. Use bisection to determine the drag coefficient needed so that an 82 - kg parachutist has a velocity of 36m/s after 4s of free fall. Note: The acceleration of gravity is 9.81m/s2. Start with initial guesses of x = 2 and x = 6 and iterate until the approximate relative error falls below 5%. Also, perform an error check by substituting your final answer into the original equation.
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