What are the correct answers?

The function s(t) describes the position of a particle moving along a coordinate line, where's is in feet and t is in seconds. s(t) = = 10t' + 25t + 7, (a) Find the velocity and acceleration functions. U(t): 31 - 20t + 25 a(t): 6t - 20 (b) Over what interval(s) is the particle moving in the positive direction? Use inf to represent co, and U for the union of sets. Interval (-0o, 3 ) U[ 5, 00 ) (c) Over what interval(s) is the particle moving in the negative direction? Use inf to represent co, and U for the union of sets. Interval: (d) Over what interval(s) does the particle have positive acceleration? Use inf to represent co, and U for the union of sets. Interval: 10 (e) Over what interval(s) does the particle have negative acceleration? Use inf to represent co, and U for the union of sets. Interval: 10 (f) Over what interval is the particle speeding up? Slowing down? Use inf to represent co, and U for the union of sets. Speeding up 10 Slowing down: 10 00 1 3