At time t, the position of a particle moving along the s-axis is s=t^3-t^2-8t+5 on the on the interval [0,5].
a) When is the particle moving to the left? moving to the right?
b) The displacement during the first 3 seconds
c) The average velocity during the first 4 seconds
d) the instantaneous velocity when t=2 sec
e) The acceleration of the particle when t=5 sec
f) total distance traveled by the particle in 5 sec
g) When does the particle change direction
h) When is the particle at rest?
f) When is the particle speeding up? slowing down?