The position of an object moving along an x axis is given by x = 3.18 t - 4.12 t2 + 1.01 t3, where x is in meters and t in seconds. Find the position of the object at the following values of t: (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t = 2 s to t = 4 s?

The position of a particle moving along the x axis is given by x(t) = 7t² - 1.7t³, where x is in meters and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction?

A particle moves in one dimension, and its position as a function of time is given by  x = (2.1 m/s)t + (−3.0 m/s2)t2.   (a) What is the particle's average velocity from t = 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.)(b) What is the particle's average velocity from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.)

The position of an object moving along an x axis is given by x = 3.15 t - 4.40 t² + 1.08 t³, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t=2s to t = 4s? (a) Number i (b) Number (c) Number i (d) Number i (e) Number (f) Number i Units Units Units Units Units Units