Particle Time Interval Average and Instantaneous Velocity Questions

You may use your calculator.

A particle is moving with velocity v(t) = t2 – 9t + 18 with distance, s measured in meters, left or right of zero, and t measured in seconds, with t between 0 and 8 seconds inclusive. The position at time t = 0 sec is 1 meter right of zero, that is, s(0) = 1.

1. The average velocity over the interval 0 to 8 seconds
2. The instantaneous velocity and speed at time 5 secs
3. The time interval(s) when the particle is moving right
4. The time interval(s) when the particle is
   1. going faster
   2. slowing down
5. Find the total distance the particle has traveled between 0 and 8 seconds