Answer
$$\frac{2}{\pi }{\text{m}}$$
Work Step by Step
$$\eqalign{
& {\text{The distance traveled is given by }} \cr
& s = \int_0^1 {\sin \pi t} dt \cr
& {\text{Integrate and evaluate}} \cr
& s = - \frac{1}{\pi }\left[ {\cos \pi t} \right]_0^1{\text{m}} \cr
& s = - \frac{1}{\pi }\left[ {\cos \pi \left( 1 \right) - \cos \pi \left( 0 \right)} \right]{\text{m}} \cr
& {\text{Simplify}} \cr
& s = - \frac{1}{\pi }\left[ {\cos \pi - \cos 0} \right]{\text{m}} \cr
& s = \frac{2}{\pi }{\text{m}} \cr} $$
