A particle moves along a straight line and its position at time

is given by

where

is measured in feet and

in seconds.

1. Use interval notation to indicate when the particle is moving in the positive direction.

-----i thought this was [0,infinity) because it is always increasing?

but its wrong.

particle is moving in the (+) direction when v(t) > 0
2. Find the total distance traveled during the first 8 seconds.

-----i thought i just plugged in 8 into the original equation but thats wrong too.

total distance $\displaystyle \textcolor{red}{= \int_0^8 |v(t)| \, dt}$