9/10/2010
1
Real World Problem
Apply engineering
knowledge to get desired
ECOR 2606 – The Big Picture
Formulation for Solution
Selection of Appropriate
Numerical Method
The final
solution
should be
checked.
output in terms of known
inputs.
Computer Solution of
Problem
Problem:
A skydiver jumps from a balloon (hence no initial velocity).
Downward force due to gravity:
F
D
= mg
Upward force due to air resistance:
F
U
= c
d
v
2
What is the skydiver’s velocity as a function of time?
A little modelling produces a differential equation:
An analytical solution can be obtained fairly easily:
2
2
v
m
c
g
dt
dv
m
v
c
mg
m
F
F
m
F
a
d
d
U
D
t
m
gc
c
gm
t
v
d
d
tanh
)
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