The position of a particle at the time
is
,
.
Find the velocity function
.
.
Find the total distance.
\
,
.
The total distance is
.
is positive when
.
Solution of
is
and
.
is negative when
.
Solution of
is
.
The limits of the integral is
.
is positive over the interval
and
.
is negative over the interval
.



The total distance
.
The total distance is
units.
The total distance is
units.