The position of a particle moving along an x axis is given by x=12t^(2)-2t^(3), where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t=3.5s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached ? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached ? (h) What is the acceleration of the particle at the instant the particle is not moving ( other than at t=0 ) ? (i) Determine the average velocity of the particle between t=0 and t=3s .

The position of a particle moving along an x axis is given by x=12t^(2

1.	The position of a particle moving along an x axis is given by x=12t^(2)-2t^(3), where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t=3.5s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached ? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached ? (h) What is the acceleration of the particle at the instant the particle is not moving ( other than at t=0 ) ? (i) Determine the average velocity of the particle between t=0 and t=3s .
Answer» Answer :(a) 61 m; (b) 11 m/s; (C) `-18 m//s^(2)`; (d) `x=64 m`; (E) 4.0 s; (f) 24 m/s;(g) 2.0 s; (H) `-24 m//s^(2)`; (i) 18 m/s

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