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. (a) (15 points) Find a differential cquation modeling the vertical position y as a function of t. (b) (15 points) Are there any equilibrium costant velocities for this model? Explain your reasoning.
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. (a) (15 points) Find a differential cquation modeling the vertical position y as a function of t. (b) (15 points) Are there any equilibrium costant velocities for this model? Explain your reasoning.
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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.
(a) (15 points) Find a differential cquation modeling the vertical position y as a function of t.
(b) (15 points) Are there any equilibrium costant velocities for this model? Explain your reasoning.
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