A pump station (el: 50-ft) is to use radial flow centrifugal pumps taking suction from a reservoir (el: 100-feet) to serve a community (el: 180-feet). All pipes are to be 24" DIP (C=130). The Pump Station is to be located 2,100-feet from the reservoir and discharges to a community one mile away. The community has an average daily demand of 22.5 MG. The delivery pressure to the community’s system must be 90 - 100 psi.

The position of a particle moving along an x axis is given by x = 15.0t2 - 5.00t3, where x is in meters and t is in seconds. determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) what is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) what is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) what is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) determine the average velocity of the particle between t = 0 and t = 3.00 s.