A particle moves in a straight line with a constant acceleration

A particle moves in a straight line with a constant acceleration of ˆ’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 ˆ’ m/s during the zero acceleration time interval, (a) Construct the v ˆ’ t and x ˆ’ 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.


a (ms 10 14 t(s; -2