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A model for the velocity

`v`

at time

`t`

of a certain object falling under the influence of gravity in a viscous medium is given by the equation

`(dv)/(dt)=2-(v)/(4)`

. From the direction field shown in the figure to the right, sketch the solutions with the initial conditions

`v(0)=4;8`

, and 13 . Why is the value

`v=8`

.called the "terminal velocity"?

`◻`

C. Why is the value

`v=8`

called the "terminal velocity"? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. At the end of its fall, the object always has velocity

`v=8`

. B. All solutions have limiting value

`◻`

as

`t->8`

. C. All solutions have limiting value

`◻`

as

`t->+\infty `

.