Physic question 4?

The position of a particle moving along the x axis depends on the time according to the equation x = ct^2 − bt^3, where x is in meters and t in seconds. For the following, let the numerical values of c and b be 4.6 and 2.2, respectively.

(c) At what time does the particle reach its maximum positive x position?
(d) From t = 0.0 s to t = 4.0 s, what distance does the particle move?
(e) From t = 0.0 s to t = 4.0 s, what is its displacement?
(f) Find its velocity at t = 1.0 s.
(g) Find its velocity at t = 2.0 s.
(h) Find its velocity at t = 3.0 s.
(i) Find its velocity at t = 4.0 s.
(j) Find its acceleration at at t = 1.0 s.
(k) Find its acceleration at at t = 2.0 s.
(l) Find its acceleration at at t = 3.0 s.
(m) Find its acceleration at at t = 4.0 s.

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