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 with v0 = 8 m/s, (a) Construct the v ? t and x ? t curves for 0 ? t ? 14 s, (b) Determine the amount of time during which the particle is farther than 8 m from the origin.