The position of a particle moving along the x-axis depends on the time according to the equation x = ct2 - bt3, where x is in meters, t in seconds, and c and b are positive constants. What are the units of (a) constant c and (b) constant b? Determine find a formula in terms of c, b, and t of the (c) velocity v and (d) acceleration a. (e) At what time t 0 does the particle reach its maximum x value?