The motion of a body falling in a resisting medium may be described by dv m = mg - bv dt when the retarding force is proportional to the velocity, v. a. (5 pts) Find the velocity. b. (3 pts) Evaluate the constant of integration by demanding that v(0) = 0. c. (2 pts) Explain the signs of the terms mg and bv.

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Chapter2: Second-order Linear Odes
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The motion of a body falling in a resisting medium may be described by
dv
m = mg - bv
when the retarding force is proportional to the velocity, v.
a. (5 pts) Find the velocity.
b. (3 pts) Evaluate the constant of integration by demanding that v(0) = 0.
c. (2 pts) Explain the signs of the terms mg and bv.
Transcribed Image Text:The motion of a body falling in a resisting medium may be described by dv m = mg - bv when the retarding force is proportional to the velocity, v. a. (5 pts) Find the velocity. b. (3 pts) Evaluate the constant of integration by demanding that v(0) = 0. c. (2 pts) Explain the signs of the terms mg and bv.
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