The position of a particle moving along an x axis is given

Question

Compute all given parts of following question:

Question: The position of a particle moving along an x axis is given by x = 11t2 - 6.0t³, where x is in meters and t is in seconds.

Part A: What is the maximum positive coordinate reached by the particle?

m

Part B: At what time is it reached?

s

Part C: What is the maximum positive velocity reached by the particle?

m/s

Part D: At what time is it reached?

S

Part E: What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)?

m/s²

Part F: Determine the average velocity of the particle between t = 0 and t = 3 s.

m/s

Hello Experts please provide me the detailed computation for above question.