Reference frame S is moving along the x axis at 0.6c relative to frame S. A particle

Question:

Reference frame S’ is moving along the x’ axis at 0.6c relative to frame S. A particle that is originally at x’ = 10 m at t₁’ = 0 is suddenly accelerated and then moves at a constant speed of c/3 in the -x’ direction until time t₂’ = 60 m/c , when it is suddenly brought to rest. As observed in frame S, find

(a) The speed of the particle,

(b) The distance and direction the particle traveled from t’₁ to t’₂, and