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.