Hello!
The balloon explodes, because the pressure builds up inside and the air want to expand. Letter a)
Hugs!
Period = (1) / (frequency)
Period = (1) / (200 per second) = 0.005 second = 5 milliseconds
I believe all of these would be known as specific phobias.
Answer:
a) Initial Value Problem
dv/dt = 4 - 0.1v
v(0) = 0
b) solution to the IVP
v(t) = 40(1 - e^(-t/10))
c) Limiting velocity
Vo = 40 ft/s
Position of the car after 12 hours
X = 14,390 ft
Explanations:
The complete explanations of each of the sections contained in the question are in the files attached to this solution.