- #1

- 158

- 6

## Homework Statement

Consider a particle in a gravitational field that is also subject to a resisting force proportional to the velocity squared ( F

_{drag}= + or - cv

^{2}).

a) Find the terminal velocity, v

_{T}, for the object as it falls.

b) Show that for an object dropped from rest that the velocity is given by v = v

_{T}tanh

^{-1}(-t/β)

where β = sqrt( m/gc )

## Homework Equations

## The Attempt at a Solution

I did part a and got v

_{T}= sqrt( mg/c )

but for part b I am not getting the same result that is shown.

My work is shown in the attachment (the tau in the attachment is the β. I wrote it as β here because its hard to distinguish the t, T, and the tau on here)

#### Attachments

Last edited: