position and time, derivative.

A particle moves along a straight line and its position at time http://webwork.asu.edu/webwork2_file...5b59f2bc11.png is given by http://webwork.asu.edu/webwork2_file...fc90ba4e71.png where http://webwork.asu.edu/webwork2_file...03d1ff8031.png is measured in feet and http://webwork.asu.edu/webwork2_file...5b59f2bc11.png 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.

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.

could i get some help on these two parts please =)

thank you

chad