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 be3.0"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"4.0s, what are (d) its velocities and (e) its acceleration?

The position of a particle moving along the x-axis depends on the time

1.	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 be3.0"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"4.0s, what are (d) its velocities and (e) its acceleration?
Answer» Answer :(a)`m//s^(2) m//s^(3);`(B)`1.0s;`(c) 82m ; (d)-80 m;(E)`0,-12,-36,-72 m//s`;(f)`-6-18,-30,-42 m//s^(2)`