A object of mass m is falling close to the Earth's surface. A drag force proportional to the square of the velocity acts on the object. Find a differential equation modeling the vertical position y as a function of t. Are there any equilibrium constant velocities for this model? Explain your reasoning. (a) (b)

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A object of mass m is falling close to the Earth's surface. A drag force proportional to the square of the
velocity acts on the object.
Find a differential equation modeling the vertical position y as a function of t.
Are there any equilibrium constant velocities for this model? Explain your reasoning.
(a)
(b)
Transcribed Image Text:A object of mass m is falling close to the Earth's surface. A drag force proportional to the square of the velocity acts on the object. Find a differential equation modeling the vertical position y as a function of t. Are there any equilibrium constant velocities for this model? Explain your reasoning. (a) (b)
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