Chapter 11.3, Problem 11.62P

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 with $v_0=16$ ft/s, (a) construct the $v-t$ and $x-t$ curves for $0\le t\le 14$ s, (b) determine the amount of time during which the particle is further than 16 ft from the origin.