A particle moves in a straight line with a constant acceleration of ??2 m/s2 for 6 s,

Question:

A particle moves in a straight line with a constant acceleration of ??2 m/s2 for 6 s, zero acceleration for the next 4 s, and a constant acceleration of +2 m/s2 for the next 4 s. Knowing that the particle starts from the origin and that its velocity is 4 ?? m/s during the zero acceleration time interval, (a) Construct the v ?? t and x ?? t curves for 0 ?? t ?? 14 s, (b) Determine the position and the velocity of the particle and the total distance traveled when t = 14 s.