I am in a numerical analysis class and we are currently working on solving ODEs using numerical methods. I have a problem that requires me to setup the differential equation, but I don't remember enough of my diff eq class to remember what to do.
A sky diver jumps from a plane, and during the time before the parachute opens, the air resistance is proportional to the (3/2) power of the diver's velocity. If it is known that the maximum rate of fall under these conditions is 80 mph (117.33 fps) determine the diver's velocity during the first 2 seconds of fall using the predictor-corrector method with a time step of .2. Neglect horizontal drift and assume initial velocity of zero.
Basically, I know how to use the predictor-corrector method but can't remember how to set up this problem.
Anyone able to quickly guide me in developing the ODE?
To Fred: Apparently Yahoo! Answers is smarter than me - because I can't find a way to reply to your post! That's exactly what I did and came up with the ODE dv/dy = 32.2 - 0.02553v^(3/2). Thanks for the quick refresher!
A sky diver jumps from a plane, and during the time before the parachute opens, the air resistance is proportional to the (3/2) power of the diver's velocity. If it is known that the maximum rate of fall under these conditions is 80 mph (117.33 fps) determine the diver's velocity during the first 2 seconds of fall using the predictor-corrector method with a time step of .2. Neglect horizontal drift and assume initial velocity of zero.
Basically, I know how to use the predictor-corrector method but can't remember how to set up this problem.
Anyone able to quickly guide me in developing the ODE?
To Fred: Apparently Yahoo! Answers is smarter than me - because I can't find a way to reply to your post! That's exactly what I did and came up with the ODE dv/dy = 32.2 - 0.02553v^(3/2). Thanks for the quick refresher!