If s(t) = 10t³-15t²-60t+5, where t≥ 0 represent the position of a particle traveling along a horizontal line. Determine the time intervals when the object is slowing down or speeding up from the velocity and acceleration functions. speeding up in (0,0.5) (2, [infinity])and slowing down in (0.5,2) speeding up in (0, 0.5) U (2, [infinity]o)and slowing down in (5,00) speeding up in (0,0.5) U (2, 5)and slowing down in (0.5, 2) speeding up in (0,0.5) U (2, [infinity]o)and slowing down in (0.5, 00) speeding up in (0,0.5) U (2, oo) and slowing down in (0.5, 2)