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## Homework Statement

The effect of air resistance is to slow down an object. It can be shown that the height of a falling object is given by the following:

y=[tex]y_{o}[/tex] - [t + ([tex]e^{-bt}[/tex] - 1) / b] * g/b.

Show that for short times the eqn is reduced to

y=[tex]y_{o}[/tex] - 0.5(g)(t^2)

## Homework Equations

I think the regular distance formula yf = yi(t) + 0.5(at^2) is what i need here because the reduced eqn resembles it very cloesely.

## The Attempt at a Solution

I've tried to do a lim as t approaces 0 on the first eqn. I've tried to equate the second eqn with the first eqn. I've been at it for a couple of hours now.

ANY help would be appreciated.