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## Homework Statement

Find Δx

Given:

F

_{x}e

^{-(t/T)}

v

_{0}=-41.2 m/s

t

_{f}=84.54 s

T=46 s

F

_{x}=13.4 N

m=8.8 kg

## Homework Equations

F=ma

## The Attempt at a Solution

a=F

_{x}e

^{-(t/T)}/m

dv/dt=F

_{x}e

^{-(t/T)}/m

*integrate both sides*

v=[(-T)F

_{x})/m]e

^{-(t/T)}+v

_{0}

dx/dt=[(-T)F

_{x}/m]e

^{-(t/T)}+v

_{0}

*take the definite integral between t

_{0}and t

_{f}*

x=[(T

^{2})F

_{x})/m]e

^{-(t/T)}+v

_{0}t

I am doing something wrong as my answer of 6192.301 m, is not correct