- #1

resurgance2001

- 185

- 5

## Homework Statement

Given that a particle has an initial velocity v0 and then undergoes an acceleration a = - bv. , where b is a constant, obtain an expression for v = v(t) and x = x (t) [/B]

## Homework Equations

Not sure

## The Attempt at a Solution

If I integrate a = - b v

I think I get v + vo = - b x + xo

But then I get stuck

The book actually gives the answer. x(t) = xo + (vo/b) (1 - e^-bt)

But I can't figure out how they got to that. The book kind of assumes that one can solve this and I should be able to but I am stuck. Thanks