A particle moves according to a law of motion s = f(t) t ≥ 0 , where t is measured in
seconds and s in feet. f(t) = t 0t 8t 3
2 3 − 1 2 + 4
(a) Find the velocity at time t:______________________________
(b) When is the particle at rest?____________________________
(c) When is the particle moving in the positive direction?_________________________
(d) Find the distance traveled during the first 6 seconds:__________________________
(e) Find the acceleration at time t :_____________________________________________
(f) When is the particle speeding up?________________ Slowing down?______