- #1

JaDi13

- 2

- 0

The problem starts with having you find equation of motions when a= -bv, where b is constant and v = v(t)

Using method of separable equations, I was able to integrate the acceleration to get the velocity, v = v

_{0}e

^{-bt}

The problem is when I try to find the equation for x.

When I integrate v, using u substitution, I get x = (v

_{0}/b)e

^{-bt}+x

_{0}

The books says the answer x = x

_{0}+ (v

_{0}/b)(1-e

^{-bt})

Also when I take the derivative of the book's answer, I get what I found for v

Am I way off base? Did I miss a step?