Abby H.

# 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].

Find

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?

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