A 2 kg object falls vertically downward from an altitude 500 m with an air resistance that is propor- tional to square of the velocity with a drag coefficient k = 0.2 N-sec/m. Assume that the velocity v(t) < 0 if the object is moving downward. (a) Set up the initial value problem of the velocity of the object at time t. (Do not solve.) (b) What is the object's terminal velocity?
A 2 kg object falls vertically downward from an altitude 500 m with an air resistance that is propor- tional to square of the velocity with a drag coefficient k = 0.2 N-sec/m. Assume that the velocity v(t) < 0 if the object is moving downward. (a) Set up the initial value problem of the velocity of the object at time t. (Do not solve.) (b) What is the object's terminal velocity?
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Transcribed Image Text:A 2 kg object falls vertically downward from an altitude 500 m with an air resistance that is propor-
tional to square of the velocity with a drag coefficient k = 0.2 N-sec/m. Assume that the velocity
v(t) < 0 if the object is moving downward.
(a) Set up the initial value problem of the velocity of the object at time t. (Do not solve.)
(b) What is the object's terminal velocity?
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