Aparticle is moving along the x-axis with velocity v(t) = sin2t. at time t = pi/2 it has position x = 3. find the total distance, s traveled by this particle on the interval 0 < = t < = pi.

Aproduction line at v. j. sugumaran's machine shop has three stations. the first station can process a unit in 7 minutes. the second station has two identical machines, each of which can process a unit in 16 minutes (each unit only needs to be processed on one of the two machines). the third station can process a unit in 10 minutes. ▼ is the bottleneck station, with a bottleneck time of nothing minutes per unit (enter your response as a whole number).