this is rectinlinear motion in calculus

3. A particle moves along the y axis with its position given by y(t) = t4 + 81'3 + 8t2 96t a. Find the initial position of the particle. b. Find the maximum acceleration of the particle c. Find the total distance travelled by the particle from t=0 to t=5 d. On what interval(s) is the particle moving upward