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.
(a)What units must c and b have ?Let their numerical value be 3.0 and 2.0, respectively.
(b)What distance does the particle move.
(c)WHat is its displacement? At t=1.0,2.0,3.0 and 4.0 ,What are (d) its velocities and (e) its accelretions?

Explanation

(a) `m//s^(2) m//s^(3)`,)(b) 1.0s ©82 m,(d) -80m, 0,-12,-36,72m//s (f) -6-18-30-42 `m/s^(2)`