Chapter 11.3, Problem 11.61P

A particle moves in a straight line with a constant acceleration of -4 ft/s² for 6 s, zero acceleration for the next 4 s, and a constant acceleration of +4 ft/s² for the next 4 s. Knowing that the particle starts from the origin and that its velocity is -8 ft/s during the zero acceleration time interval, (a) construct the $v-t$ and $x-t$ curves for $0\le t\le 14$ s, (b) determine the position and the velocity of the particle and the total distance traveled when $t=14$ s.